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## Banakh, Taras Onufrievich

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 Author ID: banakh.taras-o Published as: Banakh, Taras; Banakh, T. O.; Banakh, T.; Banakh, Taras O.; Banach, T. O.; Banakh, T. D. Homepage: http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology/bancv.html External Links: MGP · ORCID · ResearchGate · MathOverflow · Math-Net.Ru · dblp · GND
 Documents Indexed: 325 Publications since 1987, including 3 Books Reviewing Activity: 130 Reviews
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#### Co-Authors

 55 single-authored 23 Ravsky, Alex 21 Repovš, Dušan D. 20 Protasov, Igor Volodymyrovych 17 Gavrylkiv, Volodymyr M. 15 Zdoms’kyĭ, Lyubomyr Sergiĭovych 11 Bardyla, Serhii 10 Cauty, Robert 10 Sakai, Katsuro 9 Guran, Igor I. 8 Gutik, Oleg Volodymyrovych 8 Hryniv, Olena 8 Zarichnyi, Michael Mikhailovich 7 Bokalo, Bogdan Mykhailovych 7 Plichko, Anatoliĭ Mykolaĭovych 6 Banakh, Iryna 6 Radul, Taras Mykolaovych 6 Yagasaki, Tatsuhiko 5 Bartoszewicz, Artur 5 Bogachev, Vladimir Igorevich 5 Kolesnikov, Alexander V. 5 Maslyuchenko, Volodymyr Kyrylovych 5 Mine, Kotaro 5 Turek, Sławomir 5 Zarichnyi, Ihor Mykhaylovych 4 Chervak, Ostap 4 Gabriyelyan, Saak S. 4 Garbulińska-Węgrzyn, Joanna 4 Głąb, Szymon 4 Maslyuchenko, Oleksandr Volodymyrovych 4 Nowak, Magdalena 4 Slobodianiuk, Sergii 4 Strobin, Filip 3 Dimitrova, Svetlana 3 Fedorchuk, Vitaly Vitalievich 3 Hetman, Ivan 3 Kolos, Nadiya 3 Kosztołowicz, Zdzisław 3 Leiderman, Arkady G. 3 Lyaskovska, Nadya 3 Mykhaylyuk, Volodymyr V. 3 Nykyforchyn, Oleh R. 3 Rałowski, Robert 3 Szymonik, Emilia 3 Valov, Vesko M. 3 Voytsytskyy, R. I. 3 Wang, Leijie 3 Zagorodnyuk, Andriy V. 3 Żeberski, Szymon 2 Artemovych, Orest Dem”yanovych 2 Cencelj, Matija 2 Drozd, Yuriĭ Anatoliĭovych 2 Filipczak, Małgorzata 2 Hanyushkin, O. H. 2 Jabłońska, Eliza 2 Kąkol, Jerzy 2 Kubiś, Wiesław 2 Kucharski, Andrzej 2 Machura, Michal 2 Martynenko, Marta 2 Morayne, Michał 2 Novosad, Natalia 2 Pastukhova, Iryna 2 Petravchuk, Anatolii P. 2 Petrichkovich, Vasil’ Mikhaĭlovich 2 Pikhurko, Oleg 2 Potyatynyk, Oles 2 Prykarpatsky, Anatoliy Karolevych 2 Sharyn, Sergii 2 Śliwa, Wiesław 2 Sushchans’kyĭ, Vitaliĭ Ivanovych 2 Trushchak, Kh. R. 2 Tuncali, Murat 2 Tymchatyn, Edward D. 2 Verbitskij, O. V. 2 Zatorsky, Roman A. 1 Banakh, I. Ya. 1 Bankston, Paul 1 Belegradek, Igor 1 Bessaga, Czeslaw 1 Bienias, Marek 1 Blass, Andreas Raphael 1 Bodnarchuk, Yuriĭ Viktorovych 1 Bondarenko, Vitalij M. 1 Bonnet, Robert 1 Brazas, Jeremy 1 Brodsky, N. B. 1 Cabello Sánchez, Javier 1 Cherevko, Igor M. 1 Chigogidze, Alex 1 Choban, Mitrofan Mihailovich 1 Chyzhykov, Igor Elbertovych 1 Dobrowolski, Tadeusz 1 Dudko, Artem 1 Džamonja, Mirna 1 Filevych, Petro V. 1 Filipchuk, O. I. 1 Frączyk, Mikolaj 1 Grigorchuk, Rostislav Ivanovich 1 Halbeisen, Lorenz J. 1 Higes, J. ...and 64 more Co-Authors
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#### Serials

 60 Topology and its Applications 32 Matematychni Studiï 12 Colloquium Mathematicum 11 Commentationes Mathematicae Universitatis Carolinae 10 Algebra and Discrete Mathematics 9 Studia Mathematica 8 Semigroup Forum 8 Topology Proceedings 8 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka 6 Mathematical Notes 6 Ukraïns’kyĭ Matematychnyĭ Zhurnal 6 Carpathian Mathematical Publications 5 Ukrainian Mathematical Journal 5 Dissertationes Mathematicae 5 Fundamenta Mathematicae 5 Bulletin of the Polish Academy of Sciences, Mathematics 5 Journal of Mathematical Sciences (New York) 5 Central European Journal of Mathematics 5 Topological Algebra and its Applications 5 European Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 International Journal of Algebra and Computation 4 Bukovyns’kyĭ Matematychnyĭ Zhurnal 3 Real Analysis Exchange 3 Topology 3 Topological Methods in Nonlinear Analysis 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Israel Journal of Mathematics 2 Tsukuba Journal of Mathematics 2 Soviet Mathematics 2 Visnyk L’vivs’kogo Universytetu. Seriya Mekhaniko-Matematychna 2 Archive for Mathematical Logic 2 The Electronic Journal of Combinatorics 2 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 2 Mathematical Studies Monograph Series 2 Axioms 2 Journal of Fractal Geometry 1 Acta Universitatis Carolinae. Mathematica et Physica 1 American Mathematical Monthly 1 Discrete Mathematics 1 Houston Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Acta Scientiarum Mathematicarum 1 Algebra Universalis 1 Ars Combinatoria 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Journal of Graph Theory 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Notre Dame Journal of Formal Logic 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Science in China. Series A 1 Linear Algebra and its Applications 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Russian Mathematics 1 Journal of Algebraic Combinatorics 1 Set-Valued Analysis 1 Georgian Mathematical Journal 1 Fractals 1 Journal of Lie Theory 1 Serdica Mathematical Journal 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 U Sviti Matematyky 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 The Quarterly Journal of Mathematics 1 Applied General Topology 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 Groups, Geometry, and Dynamics 1 Banach Journal of Mathematical Analysis 1 Asian-European Journal of Mathematics 1 Applied General Topology 1 Proceedings of the International Geometry Center 1 International Journal of Group Theory 1 Advances in Operator Theory
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#### Fields

 220 General topology (54-XX) 85 Topological groups, Lie groups (22-XX) 63 Functional analysis (46-XX) 60 Manifolds and cell complexes (57-XX) 40 Group theory and generalizations (20-XX) 32 Mathematical logic and foundations (03-XX) 28 Measure and integration (28-XX) 23 Combinatorics (05-XX) 15 Category theory; homological algebra (18-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Algebraic topology (55-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Real functions (26-XX) 8 Convex and discrete geometry (52-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Probability theory and stochastic processes (60-XX) 5 Abstract harmonic analysis (43-XX) 4 Geometry (51-XX) 3 History and biography (01-XX) 3 General algebraic systems (08-XX) 3 Sequences, series, summability (40-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Differential geometry (53-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

217 Publications have been cited 947 times in 543 Documents Cited by Year
Ball structures and colorings of graphs and groups. Zbl 1147.05033
Protasov, I.; Banakh, T.
2003
Absorbing sets in infinite-dimensional manifolds. Zbl 1147.54322
Banakh, T.; Radul, T.; Zarichnyi, M.
1996
Each regular paratopological group is completely regular. Zbl 1358.54017
Banakh, Taras; Ravsky, Alex
2017
On the $$C_k$$-stable closure of the class of (separable) metrizable spaces. Zbl 1359.54013
Banakh, T.; Gabriyelyan, S.
2016
Oscillator topologies on a paratopological group and related number invariants. Zbl 1098.22004
Banakh, Taras; Ravsky, Olexandr
2002
Contractive function systems, their attractors and metrization. Zbl 1360.28007
Banakh, Taras; Kubiś, Wiesław; Novosad, Natalia; Nowak, Magdalena; Strobin, Filip
2015
$$\mathfrak{P}_0$$-spaces. Zbl 1331.54014
Banakh, Taras
2015
$$k^*$$-metrizable spaces and their applications. Zbl 1332.54180
Banakh, T. O.; Bogachev, V. I.; Kolesnikov, A. V.
2008
A 1-dimensional Peano continuum which is not an IFS attractor. Zbl 1262.28001
Banakh, Taras; Nowak, Magdalena
2013
On subgroups of saturated or totally bounded paratopological groups. Zbl 1061.22003
Banakh, Taras; Ravsky, Sasha
2003
Topology of spaces of probability measures. I: The functors $$P_{\tau}$$ and $$\hat P$$. Zbl 1023.28501
Banakh, T. O.
1995
Zeros of quadratic functionals on non-separable spaces. Zbl 1066.46040
Banakh, T.; Plichko, A.; Zagorodnyuk, A.
2004
The topological structure of (homogeneous) spaces and groups with countable cs*-character. Zbl 1072.54003
Banakh, Taras; Zdomskyĭ, Lubomyr
2004
On scatteredly continuous maps between topological spaces. Zbl 1196.54021
Banakh, Taras; Bokalo, Bogdan
2010
Locally minimal topological groups and their embeddings into products of $$o$$-bounded groups. Zbl 1049.54034
Banakh, Taras
2000
Topological and measure properties of some self-similar sets. Zbl 1362.28009
Banakh, Taras; Bartoszewicz, Artur; Filipczak, Małgorzata; Szymonik, Emilia
2015
Algebraic and topological properties of some sets in $$\ell_1$$. Zbl 1267.46034
Banakh, Taras; Bartoszewicz, Artur; Głąb, Szymon; Szymonik, Emilia
2012
Characterizing the Cantor bi-cube in asymptotic categories. Zbl 1246.54023
Banakh, Taras; Zarichnyi, Ihor
2011
General position properties in fiberwise geometric topology. Zbl 1301.57019
Banakh, Taras; Valov, Vesko
2013
On the submetrizability number and $$i$$-weight of quasi-uniform spaces and paratopological groups. Zbl 1335.54036
Banakh, Taras; Ravsky, Alex
2016
Embedding the bicyclic semigroup into countably compact topological semigroups. Zbl 1217.22001
Banakh, Taras; Dimitrova, Svetlana; Gutik, Oleg
2010
Algebra in the superextensions of twinic groups. Zbl 1225.22004
Banakh, Taras; Gavrylkiv, Volodymyr
2010
(Metrically) quarter-stratifiable spaces and their applications to the theory of separately continuous functions. Zbl 1023.54023
Banakh, T. O.
2002
The regularity of quotient paratopological groups. Zbl 1412.22005
Banakh, T.; Ravsky, A.
2018
$$\omega^\omega$$-dominated function spaces and $$\omega^{\omega}$$-bases in free objects of topological algebra. Zbl 1397.54036
2018
The strong Pytkeev property in topological spaces. Zbl 1376.54030
2017
Algebra in superextensions of groups. I: Zeros and commutativity. Zbl 1164.22302
Banakh, T.; Gavrylkiv, V.; Nykyforchyn, O.
2008
Algebraically determined topologies on permutation groups. Zbl 1277.20006
Banakh, Taras; Guran, Igor; Protasov, Igor
2012
Topology of spaces of probability measures. II: Barycenters of Radon probability measures and the metrization of the functors $$P_{\tau}$$ and $$\hat P$$. Zbl 1023.28502
Banakh, T. O.
1995
Algebra in superextensions of groups: minimal left ideals. Zbl 1199.22005
Banakh, T. O.; Gavrylkiv, V.
2009
Topological spaces with an $$\omega^{\omega}$$-base. Zbl 1470.54015
Banakh, Taras
2019
Topological groups and convex sets homeomorphic to non-separable Hilbert spaces. Zbl 1202.57023
Banakh, Taras; Zarichnyy, Igor
2008
Characterizing chain-compact and chain-finite topological semilattices. Zbl 1416.54017
Banakh, Taras; Bardyla, Serhii
2019
On topological groups containing a Fréchet-Urysohn fan. Zbl 0941.22002
Banakh, T.
1998
Controlled Hahn–Mazurkiewicz Theorem and some new dimension functions of Peano continua. Zbl 1140.54015
Banakh, T.; Tuncali, M.
2007
Detecting topological and Banach fractals among zero-dimensional spaces. Zbl 1332.28010
Banakh, Taras; Nowak, Magdalena; Strobin, Filip
2015
Approximation by light maps and parametric Lelek maps. Zbl 1223.54047
Banakh, Taras; Valov, Vesko
2010
The coarse classification of countable Abelian groups. Zbl 1252.20039
Banakh, T.; Higes, J.; Zarichnyi, I.
2010
On uniformly discrete subsets in uniform spaces and topological groups. Zbl 1361.54019
Banakh, T.; Gabriyelyan, S.; Protasov, I.
2016
Selection principles and infinite games on multicovered spaces. Zbl 1161.54010
Banakh, Taras; Zdomskyy, Lyubomyr
2006
The coherence of semifilters: a survey. With an appendix by Heike Mildenberger. Zbl 1162.03026
Banakh, Taras; Zdomskyy, Lyubomyr
2006
Metrizable quotients of $$C_p$$-spaces. Zbl 1454.46029
Banakh, Taras; Kąkol, Jerzy; Śliwa, Wiesław
2018
Algebra in superextensions of semilattices. Zbl 1306.06003
Banakh, Taras; Gavrylkiv, Volodoymyr
2012
Algebra in superextensions of inverse semigroups. Zbl 1271.20071
Banakh, Taras; Gavrylkiv, Volodymyr
2012
Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold. Zbl 0967.57021
Banakh, Taras
1998
Completeness of invariant ideals in groups. Zbl 1240.22001
2010
Uniform Eberlein compactifications of metrizable spaces. Zbl 1257.54028
2012
Algebra in superextensions of groups. II: Cancellativity and centers. Zbl 1199.22006
Banakh, Taras; Gavrylkiv, Volodymyr
2008
The Rees-Suschkewitsch theorem for simple topological semigroups. Zbl 1199.22004
Banakh, T. O.; Dimitrova, S.; Gutik, O. V.
2009
Scattered subsets of groups. Zbl 1359.20027
Banakh, T. O.; Protasov, I. V.; Slobodianiuk, S. V.
2015
$$o$$-boundedness of free topological groups. Zbl 1184.54033
Banakh, Taras; Repovš, Dušan; Zdomskyy, Lyubomyr
2010
Completeness and absolute $$H$$-closedness of topological semilattices. Zbl 1416.22005
Banakh, Taras; Bardyla, Serhii
2019
Verbal covering properties of topological spaces. Zbl 1338.54032
Banakh, Taras; Ravsky, Alex
2016
Josefson-Nissenzweig property for $$C_p$$-spaces. Zbl 1437.46029
Banakh, T.; Kąkol, J.; Śliwa, W.
2019
On thin-complete ideals of subsets of groups. Zbl 1278.20044
2011
On critical cardinalities related to $$Q$$-sets. Zbl 1324.03015
Banakh, T.; Machura, M.; Zdomskyy, L.
2014
The number of near-coherence classes of ultrafilters is either finite or $$2^{\mathfrak c}$$. Zbl 1182.03076
Banakh, Taras; Blass, Andreas
2006
Topologizations of a set endowed with an action of a monoid. Zbl 1294.54020
Banakh, Taras; Protasov, Igor; Sipacheva, Olga
2014
Topological structure of direct limits in the category of uniform spaces. Zbl 1189.54022
Banakh, Taras; Repovš, Dušan
2010
Homeomorphism and diffeomorphism groups of non-compact manifolds with the Whitney topology. Zbl 1188.22001
Banakh, Taras; Mine, Kotaro; Sakai, Katsuro; Yagasaki, Tatsuhiko
2011
Packing index of subsets in Polish groups. Zbl 1203.03066
2009
Characterizing meager paratopological groups. Zbl 1216.22003
Banakh, Taras; Guran, Igor; Ravsky, Alex
2011
Topologies on groups determined by sequences: Answers to several questions of I. Protasov and E. Zelenyuk. Zbl 0980.22003
Banakh, T. O.
2001
Characterizations of $$(\mathbb{R}^{\infty}, \sigma)$$- or $$(Q^{\infty}, \Sigma)$$-manifolds and their applications. Zbl 0962.57014
Banakh, Taras; Sakai, Katsuro
2000
Detecting topological groups which are (locally) homeomorphic to LF-spaces. Zbl 1284.57024
Banakh, T.; Mine, K.; Repovš, D.; Sakai, K.; Yagasaki, T.
2013
Classifying homogeneous cellular ordinal balleans up to coarse equivalence. Zbl 1394.54015
Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S.
2017
Weakly P-small not P-small subsets in groups. Zbl 1190.20036
2008
Separation properties between the $$\sigma$$-compactness and Hurewicz property. Zbl 1154.54011
Banakh, Taras; Zdomskyy, Lyubomyr
2008
Direct limit topologies in the categories of topological groups and of uniform spaces. Zbl 1241.22002
Banakh, Taras; Repovš, Dušan
2012
Perfectly supportable semigroups are $$\sigma$$-discrete in each Hausdorff shift-invariant topology. Zbl 1279.22003
Banakh, Taras; Guran, Igor
2013
On character of points in the Higson corona of a metric space. Zbl 1289.03033
Banakh, Taras; Chervak, Ostap; Zdomskyy, Lyubomyr
2013
Baire category properties of function spaces with the Fell hypograph topology. Zbl 1436.54015
Wang, Leijie; Banakh, Taras
2019
The closedness of complete subsemilattices in functionally Hausdorff semitopological semilattices. Zbl 1468.22013
Banakh, Taras; Bardyla, Serhii; Ravsky, Alex
2019
$$AE(0)$$-spaces and regular operators extending (averaging) pseudometrics. Zbl 0827.54010
Banakh, Taras
1994
A topological characterization of $$LF$$-spaces. Zbl 1241.57028
Banakh, Taras; Repovš, Dušan
2012
Extending binary operations to functor-spaces. Zbl 1375.18019
Banakh, T. O.; Gavrylkiv, V. M.
2009
Topological and ditopological unosemigroup. Zbl 1305.22002
Banakh, T. O.; Pastukhova, I. S.
2013
Openly factorizable spaces and compact extensions of topological semigroups. Zbl 1224.54043
Banakh, T.; Dimitrova, S.
2010
Characterizing semigroups with commutative superextensions. Zbl 1404.20047
Banakh, Taras; Garvrylkiv, Volodymyr
2014
On linear operators extending [pseudo] metrics. Zbl 0948.54021
Banakh, Taras; Bessaga, Czesław
2000
Some properties of the linear hull of the Erdős set in $$l^2$$. Zbl 0947.57026
Banakh, Taras
1999
On index of total boundedness of (strictly) $$o$$-bounded groups. Zbl 1010.22004
Banakh, Taras
2002
On cardinal invariants and metrizability of topological inverse Clifford semigroups. Zbl 1029.20031
Banakh, Taras
2003
Null-finite sets in topological groups and their applications. Zbl 07055702
Banakh, Taras; Jabłónska, Eliza
2019
The interplay between weak topologies on topological semilattices. Zbl 1414.22009
Banakh, Taras; Bardyla, Serhii
2019
On structure of the semigroups of $$k$$-linked upfamilies on groups. Zbl 1378.20057
Banakh, Taras O.; Gavrylkiv, Volodymyr M.
2017
On continuous self-maps and homeomorphisms of the Golomb space. Zbl 06997360
Banakh, Taras; Mioduszewski, Jerzy; Turek, Sławomir
2018
On local convexity of nonlinear mappings between Banach spaces. Zbl 1267.46027
Banakh, Iryna; Banakh, Taras; Plichko, Anatolij; Prykarpatsky, Anatoliy
2012
Universal meager $$F_\sigma$$-sets in locally compact manifolds. Zbl 1289.57007
Banakh, Taras; Repovš, Dušan
2013
A metrizable semitopological semilattice with non-closed partial order. Zbl 1442.22004
Banakh, Taras; Bardyla, Serhii; Ravsky, Alex
2020
Embedding topological spaces into Hausdorff $$\kappa$$-bounded spaces. Zbl 1448.54013
Banakh, Taras; Bardyla, Serhii; Ravsky, Alex
2020
Hyperspaces of nowhere topologically complete spaces. Zbl 0992.54015
Banakh, T.; Cauty, R.
1997
On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology. Zbl 1295.57037
Banakh, Taras; Mine, Kotaro; Sakai, Katsuro; Yagasaki, Tatsuhiko
2014
Topological classification of spaces of probability measures for co-analytic sets. Zbl 0858.54035
Banakh, T. O.; Cauty, Robert
1994
Strong universality for totally bounded subsets. Applications to the spaces $$C_ p(X)$$. (Universalité forte pour les sous-ensembles totalement bornés. Applications aux espaces $$C_ p(X)$$.) Zbl 0882.57014
Banakh, Taras; Cauty, Robert
1997
Topology of spaces of probability measures. Zbl 0893.28004
Banakh, T. O.; Radul, T. N.
1997
On continuous extension of uniformly continuous functions and metrics. Zbl 1172.54010
Banakh, T.; Brodskiy, N.; Stasyuk, I.; Tymchatyn, E. D.
2009
Filter games and pathological subgroups of a countable product of lines. Zbl 1109.03058
Banakh, Taras; Nickolas, Peter; Sanchis, Manuel
2006
Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts. Zbl 1125.54006
Banakh, T.; Voytsitskyy, R.
2007
$$F$$-Dugundji spaces, $$F$$-Milutin spaces and absolute $$F$$-valued retracts. Zbl 1304.54036
2015
Any isometry between the spheres of absolutely smooth 2-dimensional Banach spaces is linear. Zbl 07330922
Banakh, Taras
2021
The Lawson number of a semitopological semilattice. Zbl 07365251
Banakh, Taras; Bardyla, Serhii; Gutik, Oleg
2021
A metrizable semitopological semilattice with non-closed partial order. Zbl 1442.22004
Banakh, Taras; Bardyla, Serhii; Ravsky, Alex
2020
Embedding topological spaces into Hausdorff $$\kappa$$-bounded spaces. Zbl 1448.54013
Banakh, Taras; Bardyla, Serhii; Ravsky, Alex
2020
Baire category properties of some Baire type function spaces. Zbl 1442.54013
Banakh, T.; Gabriyelyan, S.
2020
On images of complete topologized subsemilattices in sequential semitopological semilattices. Zbl 07203144
Banakh, Taras; Bardyla, Serhii
2020
On feebly compact paratopological groups. Zbl 1468.22003
Banakh, Taras; Ravsky, Alex
2020
The continuity of Darboux injections between manifolds. Zbl 1436.54022
Banakh, Iryna; Banakh, Taras
2020
A metrizable Lawson semitopological semilattice with non-closed partial order. Zbl 07364812
Banakh, Taras; Bardyla, Serhii; Ravsky, Alex
2020
Topological spaces with an $$\omega^{\omega}$$-base. Zbl 1470.54015
Banakh, Taras
2019
Characterizing chain-compact and chain-finite topological semilattices. Zbl 1416.54017
Banakh, Taras; Bardyla, Serhii
2019
Completeness and absolute $$H$$-closedness of topological semilattices. Zbl 1416.22005
Banakh, Taras; Bardyla, Serhii
2019
Josefson-Nissenzweig property for $$C_p$$-spaces. Zbl 1437.46029
Banakh, T.; Kąkol, J.; Śliwa, W.
2019
Baire category properties of function spaces with the Fell hypograph topology. Zbl 1436.54015
Wang, Leijie; Banakh, Taras
2019
The closedness of complete subsemilattices in functionally Hausdorff semitopological semilattices. Zbl 1468.22013
Banakh, Taras; Bardyla, Serhii; Ravsky, Alex
2019
Null-finite sets in topological groups and their applications. Zbl 07055702
Banakh, Taras; Jabłónska, Eliza
2019
The interplay between weak topologies on topological semilattices. Zbl 1414.22009
Banakh, Taras; Bardyla, Serhii
2019
Difference bases in cyclic groups. Zbl 1414.05055
Banakh, Taras O.; Gavrylkiv, Volodymyr M.
2019
Constructing balleans. Zbl 1432.54024
Banakh, Taras O.; Protasov, Igor
2019
Functional boundedness of balleans: coarse versions of compactness. Zbl 1432.54025
Banakh, Taras; Protasov, Igor
2019
The continuity of additive and convex functions which are upper bounded on non-flat continua in $$\mathbb R^n$$. Zbl 1428.26022
Banakh, Taras; Jabłońska, Eliza; Jabłoński, Wojciech
2019
A universal Banach space with a $$K$$-unconditional basis. Zbl 1423.46012
Banakh, Taras; Garbulińska-Wȩgrzyn, Joanna
2019
The regularity of quotient paratopological groups. Zbl 1412.22005
Banakh, T.; Ravsky, A.
2018
$$\omega^\omega$$-dominated function spaces and $$\omega^{\omega}$$-bases in free objects of topological algebra. Zbl 1397.54036
2018
Metrizable quotients of $$C_p$$-spaces. Zbl 1454.46029
Banakh, Taras; Kąkol, Jerzy; Śliwa, Wiesław
2018
On continuous self-maps and homeomorphisms of the Golomb space. Zbl 06997360
Banakh, Taras; Mioduszewski, Jerzy; Turek, Sławomir
2018
Quasicontinuous functions with values in Piotrowski spaces. Zbl 1400.54030
Banakh, Taras
2018
Spaces of nonnegatively curved surfaces. Zbl 1396.53059
2018
The universal Banach space with a $$K$$-suppression unconditional basis. Zbl 1463.46017
Banakh, Taras; Garbulińska-Węgrzyn, Joanna
2018
Kuratowski monoids of $$n$$-topological spaces. Zbl 1398.54003
Banakh, Taras; Chervak, Ostap; Martynyuk, Tetyana; Pylypovych, Maksym; Ravsky, Alex; Simkiv, Markiyan
2018
Each regular paratopological group is completely regular. Zbl 1358.54017
Banakh, Taras; Ravsky, Alex
2017
The strong Pytkeev property in topological spaces. Zbl 1376.54030
2017
Classifying homogeneous cellular ordinal balleans up to coarse equivalence. Zbl 1394.54015
Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S.
2017
On structure of the semigroups of $$k$$-linked upfamilies on groups. Zbl 1378.20057
Banakh, Taras O.; Gavrylkiv, Volodymyr M.
2017
Sequential rectifiable spaces of countable $$\mathrm {cs}^*$$-character. Zbl 1421.54019
Banakh, Taras; Repovš, Dušan
2017
Categorically closed topological groups. Zbl 1422.22008
Banakh, Taras
2017
Automorphism groups of superextensions of groups. Zbl 07053817
Banakh, T. O.; Gavrylkiv, V. M.
2017
Weakly discontinuous and resolvable functions between topological spaces. Zbl 1369.54010
Banakh, Taras; Bokalo, Bogdan
2017
Quasicontinuous and separately continuous functions with values in Maslyuchenko spaces. Zbl 1376.54016
Banakh, Taras
2017
The $$C_p$$-stable closure of the class of separable metrizable spaces. Zbl 1373.54025
Banakh, Taras; Gabriyelyan, Saak
2017
Continuity points of separately continuous functions with values in $$\aleph_0$$-spaces. Zbl 1399.54039
Banakh, Taras
2017
Ramsey-product subsets of a group. Zbl 1410.05215
Banakh, T.; Protasov, I.; Protasova, K.
2017
Strongly $$\sigma$$-metrizable spaces are super $$\sigma$$-metrizable. Zbl 1374.54031
Banakh, I. Ya.; Banakh, T. O.
2017
On the $$C_k$$-stable closure of the class of (separable) metrizable spaces. Zbl 1359.54013
Banakh, T.; Gabriyelyan, S.
2016
On the submetrizability number and $$i$$-weight of quasi-uniform spaces and paratopological groups. Zbl 1335.54036
Banakh, Taras; Ravsky, Alex
2016
On uniformly discrete subsets in uniform spaces and topological groups. Zbl 1361.54019
Banakh, T.; Gabriyelyan, S.; Protasov, I.
2016
Verbal covering properties of topological spaces. Zbl 1338.54032
Banakh, Taras; Ravsky, Alex
2016
Cardinal invariants distinguishing permutation groups. Zbl 1426.03030
Banakh, Taras; Mildenberger, Heike
2016
Quasi-pseudometrics on quasi-uniform spaces and quasi-metrization of topological monoids. Zbl 1337.54012
Banakh, Taras; Ravsky, Alex
2016
Manifolds admitting a continuous cancellative binary operation are orientable. Zbl 1354.22003
Banakh, Taras; Guran, Igor; Ravsky, Alex
2016
On partitions of $$G$$-spaces and $$G$$-lattices. Zbl 1335.05207
Banakh, Taras; Ravsky, Oleksandr; Slobodianiuk, Sergiy
2016
Contractive function systems, their attractors and metrization. Zbl 1360.28007
Banakh, Taras; Kubiś, Wiesław; Novosad, Natalia; Nowak, Magdalena; Strobin, Filip
2015
$$\mathfrak{P}_0$$-spaces. Zbl 1331.54014
Banakh, Taras
2015
Topological and measure properties of some self-similar sets. Zbl 1362.28009
Banakh, Taras; Bartoszewicz, Artur; Filipczak, Małgorzata; Szymonik, Emilia
2015
Detecting topological and Banach fractals among zero-dimensional spaces. Zbl 1332.28010
Banakh, Taras; Nowak, Magdalena; Strobin, Filip
2015
Scattered subsets of groups. Zbl 1359.20027
Banakh, T. O.; Protasov, I. V.; Slobodianiuk, S. V.
2015
$$F$$-Dugundji spaces, $$F$$-Milutin spaces and absolute $$F$$-valued retracts. Zbl 1304.54036
2015
Diffeomorphism groups of non-compact manifolds endowed with the Whitney $$C^\infty$$-topology. Zbl 1302.58003
Banakh, Taras; Yagasaki, Tatsuhiko
2015
Non-meager free sets for meager relations on Polish spaces. Zbl 1343.03039
Banakh, Taras; Zdomskyy, Lyubomyr
2015
Topologically invariant $$\sigma$$-ideals on Euclidean spaces. Zbl 1342.57017
Banakh, T.; Morayne, M.; Rałowski, R.; Żeberski, Sz.
2015
Topologically invariant $$\sigma$$-ideals on the Hilbert cube. Zbl 1343.03038
Banakh, Taras; Morayne, Michał; Rałowski, Robert; Żeberski, Szymon
2015
On sequential closure of the set of continuous functions the space of all separately continuous functions. Zbl 1363.54024
Banakh, Taras
2015
Embedding topological fractals in universal spaces. Zbl 1332.28011
Banakh, Taras; Strobin, Filip
2015
Automatic continuity of homomorphisms between topological semigroups. Zbl 1321.22002
Banakh, Taras; Pastukhova, Iryna
2015
On critical cardinalities related to $$Q$$-sets. Zbl 1324.03015
Banakh, T.; Machura, M.; Zdomskyy, L.
2014
Topologizations of a set endowed with an action of a monoid. Zbl 1294.54020
Banakh, Taras; Protasov, Igor; Sipacheva, Olga
2014
Characterizing semigroups with commutative superextensions. Zbl 1404.20047
Banakh, Taras; Garvrylkiv, Volodymyr
2014
On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology. Zbl 1295.57037
Banakh, Taras; Mine, Kotaro; Sakai, Katsuro; Yagasaki, Tatsuhiko
2014
On topological Clifford semigroups embeddable into products of cones over topological groups. Zbl 1309.22002
Banakh, Taras; Pastukhova, Iryna
2014
Micro and macro fractals generated by multi-valued dynamical systems. Zbl 1306.28003
2014
Asymptotic dimension and small subsets in locally compact topological groups. Zbl 1302.54068
2014
On the dimension of the space of $$\mathbb R$$-places of certain rational function fields. Zbl 1311.12004
Banakh, Taras; Kholyavka, Yaroslav; Potyatynyk, Oles; Machura, Michał; Kuhlmann, Katarzyna
2014
Densities, submeasures and partitions of groups. Zbl 1405.05192
Banakh, Taras; Protasov, Igor; Slobodianiuk, Sergiy
2014
Universal nowhere dense and meager sets in Menger manifolds. Zbl 1292.57017
Banakh, Taras; Repovš, Dušan
2014
Hereditarily supercompact spaces. Zbl 1287.54019
Banakh, Taras; Kosztołowicz, Zdzisław; Turek, Sławomir
2014
Coarse classification of abelian groups and amenable shift-homogeneous metric spaces. Zbl 1353.20022
Banakh, Taras; Cencelj, Matija; Repovš, Dušan; Zarichnyi, Ihor
2014
On $$\infty$$-convex sets in spaces of scatteredly continuous functions. Zbl 1310.46011
Banakh, Taras; Bokalo, Bogdan; Kolos, Nadiya
2014
Erratum to “Algebraic and topological properties of some sets in $$\ell _1$$”. Zbl 1317.46013
Banakh, Taras; Bartoszewicz, Artur; Głąb, Szymon; Szymonik, Emilia
2014
A 1-dimensional Peano continuum which is not an IFS attractor. Zbl 1262.28001
Banakh, Taras; Nowak, Magdalena
2013
General position properties in fiberwise geometric topology. Zbl 1301.57019
Banakh, Taras; Valov, Vesko
2013
Detecting topological groups which are (locally) homeomorphic to LF-spaces. Zbl 1284.57024
Banakh, T.; Mine, K.; Repovš, D.; Sakai, K.; Yagasaki, T.
2013
Perfectly supportable semigroups are $$\sigma$$-discrete in each Hausdorff shift-invariant topology. Zbl 1279.22003
Banakh, Taras; Guran, Igor
2013
On character of points in the Higson corona of a metric space. Zbl 1289.03033
Banakh, Taras; Chervak, Ostap; Zdomskyy, Lyubomyr
2013
Topological and ditopological unosemigroup. Zbl 1305.22002
Banakh, T. O.; Pastukhova, I. S.
2013
Universal meager $$F_\sigma$$-sets in locally compact manifolds. Zbl 1289.57007
Banakh, Taras; Repovš, Dušan
2013
Universal nowhere dense subsets of locally compact manifolds. Zbl 1281.57014
Banakh, Taras; Repovš, Dušan
2013
Dimension of graphoids of rational vector-functions. Zbl 1275.54022
Banakh, Taras; Potyatynyk, Oles
2013
A spectral characterization of skeletal maps. Zbl 1269.54005
Banakh, Taras; Kucharski, Andrzej; Martynenko, Marta
2013
Separately twice differentiable functions and the equation of string oscillation. Zbl 1323.26017
Banakh, Taras; Mykhaylyuk, Volodymyr
2013
Recognizing the topology of the space of closed convex subsets of a Banach space. Zbl 1296.57017
Banakh, Taras; Hetman, Ivan; Sakai, Katsuro
2013
Algebraic and topological properties of some sets in $$\ell_1$$. Zbl 1267.46034
Banakh, Taras; Bartoszewicz, Artur; Głąb, Szymon; Szymonik, Emilia
2012
Algebraically determined topologies on permutation groups. Zbl 1277.20006
Banakh, Taras; Guran, Igor; Protasov, Igor
2012
Algebra in superextensions of semilattices. Zbl 1306.06003
Banakh, Taras; Gavrylkiv, Volodoymyr
2012
Algebra in superextensions of inverse semigroups. Zbl 1271.20071
Banakh, Taras; Gavrylkiv, Volodymyr
2012
Uniform Eberlein compactifications of metrizable spaces. Zbl 1257.54028
2012
Direct limit topologies in the categories of topological groups and of uniform spaces. Zbl 1241.22002
Banakh, Taras; Repovš, Dušan
2012
A topological characterization of $$LF$$-spaces. Zbl 1241.57028
Banakh, Taras; Repovš, Dušan
2012
On local convexity of nonlinear mappings between Banach spaces. Zbl 1267.46027
Banakh, Iryna; Banakh, Taras; Plichko, Anatolij; Prykarpatsky, Anatoliy
2012
On $$\sigma$$-convex subsets in spaces of scatteredly continuous functions. Zbl 1265.54090
Banakh, Taras; Bokalo, Bogdan; Kolos, Nadiya
2012
Kaleidoscopical configurations in $$G$$-spaces. Zbl 1243.05060
Banakh, Taras; Petrenko, Oleksandr; Protasov, Igor; Slobodianiuk, Sergiy
2012
...and 117 more Documents
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#### Cited by 408 Authors

 112 Banakh, Taras Onufrievich 45 Protasov, Igor Volodymyrovych 28 Gabriyelyan, Saak S. 23 Lin, Shou 21 Tkachenko, Mikhail Gelievich 20 Repovš, Dušan D. 17 Kąkol, Jerzy 16 Ravsky, Alex 14 Bardyla, Serhii 14 Dikranjan, Dikran N. 14 Zdoms’kyĭ, Lyubomyr Sergiĭovych 13 Lin, Fucai 12 Gutik, Oleg Volodymyrovych 12 Valov, Vesko M. 10 Liu, Chuan 10 Sakai, Katsuro 10 Strobin, Filip 9 Gavrylkiv, Volodymyr M. 9 Protasova, Ksenia D. 9 Sánchez, Iván 9 Xie, Lihong 8 Bartoszewicz, Artur 8 Mykhaylyuk, Volodymyr V. 8 Tsaban, Boaz 7 Ferrer, Jesús 7 Głąb, Szymon 7 Leiderman, Arkady G. 7 Yagasaki, Tatsuhiko 7 Zava, Nicolò 6 Filipczak, Małgorzata 6 Nowak, Magdalena 6 Radul, Taras Mykolaovych 6 Sanchis, Manuel 6 Yang, Zhongqiang 6 Zarichnyi, Michael Mikhailovich 5 Bokalo, Bogdan Mykhailovych 5 Cai, Zhangyong Cai 5 Ferrando, Juan Carlos 5 Koshino, Katsuhisa 5 Li, Piyu 5 Mine, Kotaro 4 Chandra, Debraj 4 Das, Pratulananda 4 Fedorchuk, Vitaly Vitalievich 4 Karlova, Olena 4 Kočinac, Ljubiša D. R. 4 Krupski, Paweł 4 Kubiś, Wiesław 4 Marchwicki, Jacek 4 Seoane-Sepúlveda, Juan Benigno 4 Tymchatyn, Edward D. 4 Wang, Leijie 3 Andres, Jan 3 Belegradek, Igor 3 Bogachev, Vladimir Igorevich 3 D’Aniello, Emma 3 Elekes, Márton 3 Guran, Igor I. 3 Juhász, István 3 Kuhlmann, Katarzyna 3 Künzi, Hans-Peter A. 3 Li, Jian 3 Ling, Xuewei 3 Machura, Michal 3 Maślanka, Łukasz 3 Miculescu, Radu 3 Mihail, Alexandru 3 Mildenberger, Heike 3 Niemiec, Piotr 3 Ostaszewski, Adam J. 3 Pastukhova, Iryna 3 Peng, Dekui 3 Rypka, Miroslav 3 Samulewicz, Alicja 3 Soukup, Lajos 3 Szentmiklóssy, Zoltán 3 Tall, Franklin D. 3 Xiao, Zhiqiang 3 Yang, Hanbiao 2 Agop, Maricel 2 Antonyan, Sergey A. 2 Atiponrat, Watchareepan 2 Außenhofer, Lydia 2 Aviles Lopez, Antonio 2 Bandura, Andriy Ivanovych 2 Bankston, Paul 2 Bernal-Gonzàlez, Luis 2 Bingham, Nicholas Hugh 2 Bogatyĭ, Semeon Antonovich 2 Cabello Sánchez, Javier 2 Chasco, María Jesús 2 Chervak, Ostap 2 Domínguez, Xabier 2 Feng, Ziqin 2 Gavrilut, Alina Cristiana 2 Grebík, Jan 2 Gutev, Valentin G. 2 Hernández, Salvador 2 Higes, J. 2 Hryniv, Olena ...and 308 more Authors
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#### Cited in 110 Serials

 209 Topology and its Applications 30 Journal of Mathematical Analysis and Applications 17 Proceedings of the American Mathematical Society 16 Journal of Mathematical Sciences (New York) 13 Ukrainian Mathematical Journal 13 Central European Journal of Mathematics 13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 10 Carpathian Mathematical Publications 10 Topological Algebra and its Applications 10 European Journal of Mathematics 8 Applied General Topology 7 Semigroup Forum 6 Israel Journal of Mathematics 6 Fundamenta Mathematicae 6 Monatshefte für Mathematik 6 Quaestiones Mathematicae 6 Topology Proceedings 5 Journal of the Mathematical Society of Japan 5 Topological Methods in Nonlinear Analysis 5 Matematychni Studiï 4 Chaos, Solitons and Fractals 4 Journal of Pure and Applied Algebra 4 Results in Mathematics 4 Transactions of the American Mathematical Society 4 Acta Mathematica Hungarica 4 Axioms 3 Mathematical Notes 3 Journal of Functional Analysis 3 International Journal of Algebra and Computation 3 Linear Algebra and its Applications 3 Archive for Mathematical Logic 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Fixed Point Theory and Applications 3 Banach Journal of Mathematical Analysis 3 Journal of Fractal Geometry 2 Linear and Multilinear Algebra 2 Algebra Universalis 2 Fuzzy Sets and Systems 2 Siberian Mathematical Journal 2 Annals of Pure and Applied Logic 2 Indagationes Mathematicae. New Series 2 Applied Mathematics. Series B (English Edition) 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Journal of Group Theory 2 Algebra and Discrete Mathematics 2 Asian-European Journal of Mathematics 2 Proceedings of the International Geometry Center 2 Open Mathematics 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Advances in Mathematics 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Geometry 1 The Journal of Symbolic Logic 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Control and Optimization 1 Ergodic Theory and Dynamical Systems 1 Bulletin of the Iranian Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 New Zealand Journal of Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Algebraic Combinatorics 1 Applied Categorical Structures 1 Mathematical Logic Quarterly (MLQ) 1 Journal of the Egyptian Mathematical Society 1 Fractals 1 Filomat 1 The Electronic Journal of Combinatorics 1 Opuscula Mathematica 1 Journal of Difference Equations and Applications 1 The Ramanujan Journal 1 Theory of Computing Systems 1 Soft Computing 1 Revista Matemática Complutense 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Qualitative Theory of Dynamical Systems 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Missouri Journal of Mathematical Sciences ...and 10 more Serials
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#### Cited in 40 Fields

 404 General topology (54-XX) 159 Topological groups, Lie groups (22-XX) 84 Functional analysis (46-XX) 68 Measure and integration (28-XX) 54 Group theory and generalizations (20-XX) 53 Mathematical logic and foundations (03-XX) 50 Manifolds and cell complexes (57-XX) 24 Real functions (26-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 21 Category theory; homological algebra (18-XX) 21 Dynamical systems and ergodic theory (37-XX) 17 Operator theory (47-XX) 15 Combinatorics (05-XX) 15 Abstract harmonic analysis (43-XX) 12 Convex and discrete geometry (52-XX) 10 Number theory (11-XX) 10 Algebraic topology (55-XX) 9 Sequences, series, summability (40-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Differential geometry (53-XX) 7 Probability theory and stochastic processes (60-XX) 6 Geometry (51-XX) 5 Field theory and polynomials (12-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 General algebraic systems (08-XX) 3 Commutative algebra (13-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Partial differential equations (35-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)