# zbMATH — the first resource for mathematics

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 Documents Indexed: 160 Publications since 1981, including 6 Books Reviewing Activity: 80 Reviews
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#### Co-Authors

 78 single-authored 37 Wilson, Richard Gordon 20 Tkachenko, Mikhail Gelievich 15 Alas, Ofelia Teresa 5 Jardón, Daniel R. 5 van Mill, Jan 4 Yaschenko, Ivan V. 3 Dow, Alan S. 3 Gruenhage, Gary F. 3 Junqueira, Lúcia R. 3 Okunev, Oleg G. 3 Sanchis, Manuel 3 Shakhmatov, Dmitri B. 2 Arkhangel’skiĭ, Aleksandr Vladimirovich 2 Bella, Angelo 2 Burke, Dennis K. 2 Dikranjan, Dikran N. 2 Itzkowitz, Gerald L. 2 Juhász, István 2 Ponomarev, V. I. 2 Yengulalp, Lynne 1 Aguilar-Velázquez, J. 1 Balogh, Zoltan T. 1 Banakh, Taras Onufrievich 1 Bokalo, Bogdan Mykhailovych 1 Bonanzinga, Maddalena 1 Buzyakova, Raushan Z. 1 Cascales, Bernardo 1 Fleissner, William G. 1 García-Ferreira, Salvador 1 Gotchev, Ivan S. 1 Guerrero Sánchez, David 1 Kopperman, Ralph D. 1 López de Luna, Miguel 1 Lutzer, David J. 1 Madriz-Mendoza, Maira 1 Martínez, R. Ramírez 1 Matveev, Michael V. 1 Mendoza-Iturralde, Pablo 1 Morris, Sidney A. 1 Niknejad, Jila 1 Orihuela, José 1 Pelant, Jan 1 Protasov, Igor Volodymyrovych 1 Puga-Espinosa, Isabel 1 Rojas-Hernández, Reynaldo 1 Sánchez, D. Guerrero 1 Tall, Franklin D. 1 Tamariz-Mascarúa, Angel 1 Uspenskiĭ, Vladimir Vladimirovich 1 Watson, William Stephen 1 Yashchenko, Ivan V.
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#### Serials

 31 Topology and its Applications 16 Commentationes Mathematicae Universitatis Carolinae 10 Topology Proceedings 9 Moscow University Mathematics Bulletin 9 Acta Mathematica Hungarica 6 Houston Journal of Mathematics 5 Journal of Mathematical Analysis and Applications 5 Quaestiones Mathematicae 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Proceedings of the American Mathematical Society 4 New Zealand Journal of Mathematics 4 European Journal of Mathematics 4 Problem Books in Mathematics 3 Studia Scientiarum Mathematicarum Hungarica 3 Glasnik Matematički. Serija III 3 Bulletin of the Belgian Mathematical Society - Simon Stevin 3 Applied General Topology 3 Central European Journal of Mathematics 2 Mathematical Notes 2 Matematicheskie Zametki 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Fundamenta Mathematicae 2 Transactions of the Moscow Mathematical Society 2 Scientiae Mathematicae Japonicae 1 Bulletin of the Australian Mathematical Society 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Mathematica Slovaca 1 Siberian Mathematical Journal 1 Soviet Mathematics. Doklady 1 Transactions of the American Mathematical Society 1 Tsukuba Journal of Mathematics 1 Soviet Mathematics 1 Questions and Answers in General Topology 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Applied General Topology
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#### Fields

 159 General topology (54-XX) 22 Topological groups, Lie groups (22-XX) 10 Functional analysis (46-XX) 7 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematics education (97-XX) 1 Ordinary differential equations (34-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

128 Publications have been cited 889 times in 448 Documents Cited by Year
A $$C_p$$-theory problem book. Topological and function spaces. Zbl 1222.54002
2011
Classes defined by stars and neighbourhood assignments. Zbl 1131.54022
van Mill, J.; Tkachuk, V. V.; Wilson, R. G.
2007
A space $$C_p(X)$$ is dominated by irrationals if and only if it is $$K$$-analytic. Zbl 1081.54012
Tkachuk, V. V.
2005
A $$C_p$$-theory problem book. Special features of function spaces. Zbl 1303.54006
2014
A $$C_p$$-theory problem book. Compactness in function spaces. Zbl 1325.54001
2015
Selective separability: general facts and behavior in countable spaces. Zbl 1165.54008
2008
Topologies generated by discrete subspaces. Zbl 1009.54005
Dow, A.; Tkachenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
2002
Monolithic spaces and $$D$$-spaces revisited. Zbl 1165.54009
Tkachuk, V. V.
2009
Domination by second countable spaces and Lindelöf $$\Sigma$$-property. Zbl 1213.54033
Cascales, B.; Orihuela, J.; Tkachuk, V. V.
2011
On the extent of star countable spaces. Zbl 1246.54017
Alas, Ofelia T.; Junqueira, Lucia R.; van Mill, Jan; Tkachuk, Vladimir V.; Wilson, Richard G.
2011
A quest for nice kernels of neighbourhood assignments. Zbl 1199.54141
Buzyakova, R. Z.; Tkachuk, V. V.; Wilson, R. G.
2007
The spaces $$C_ p(X):$$ decomposition into a countable union of bounded subspaces and completeness properties. Zbl 0596.54015
Tkachuk, V. V.
1986
Lindelöf $$\Sigma$$-spaces: an omnipresent class. Zbl 1246.54002
2010
Covering properties and neighborhood assignments. Zbl 1127.54009
Alas, Ofelia T.; Tkachuk, Vladimir V.; Wilson, Richard G.
2006
Irresolvable and submaximal spaces: Homogeneity versus $$\sigma$$-discreteness and new ZFC examples. Zbl 0984.54002
Alas, O. T.; Sanchis, M.; Tkačenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
2000
A glance at compact spaces which map ”nicely” onto the metrizable ones. Zbl 0854.54022
1994
Condensing function spaces into $$\Sigma$$-products of real lines. Zbl 1126.54012
2007
A monotone version of the Sokolov property and monotone retractability in function spaces. Zbl 1308.54016
Rojas-Hernández, R.; Tkachuk, V. V.
2014
A broader context for monotonically monolithic spaces. Zbl 1274.54043
Alas, O. T.; Tkachuk, V. V.; Wilson, R. G.
2009
The Collins-Roscoe property and its applications in the theory of function spaces. Zbl 1245.54022
Tkachuk, V. V.
2012
Topological groups with thin generating sets. Zbl 0964.22002
Dikranjan, D.; Tkačenko, M.; Tkachuk, V.
2000
Calibers and point-finite cellularity of the space Cp(X) and some questions of S. Gul’ko and M. Hušek. Zbl 0591.54023
Arkhangel’skij, A. V.; Tkachuk, V. V.
1986
Function spaces and $$d$$-separability. Zbl 1091.54008
2005
Weakly linearly Lindelöf monotonically normal spaces are Lindelöf. Zbl 1413.54082
Juhász, István; Tkachuk, Vladimir V.; Wilson, Richard G.
2017
Behavior of the Lindelöf $$\Sigma$$-property in iterated function spaces. Zbl 0983.54019
Tkachuk, V. V.
2000
A nice class extracted from $$C_p$$-theory. Zbl 1121.54019
2005
Spaces that are projective with respect to classes of mappings. Zbl 0662.54007
Tkachuk, V. V.
1988
On cardinal invariants of Suslin number type. Zbl 0539.54001
Tkachuk, V. V.
1983
Closures of discrete sets often reflect global properties. Zbl 1002.54021
Alas, Ofelia T.; Tkachuk, Vladimir V.; Wilson, Richard G.
2000
Almost closed sets and topologies they determine. Zbl 1053.54004
Tkachuk, V. V.; Yaschenko, I. V.
2001
No submaximal topology on a countable set is $$\mathbf{T}_{\text \textbf{1}}$$-complementary. Zbl 0932.54035
Tkačenko, Mikhail G.; Tkachuk, Vladimir V.; Wilson, Richard G.; Yaschenko, Ivan V.
2000
Some topological groups with and some without suitable sets. Zbl 0983.54038
Dikranjan, D.; Tkačenko, M.; Tkachuk, V.
1999
If $$C_{p}(X)$$ is strongly dominated by a second countable space, then $$X$$ is countable. Zbl 1394.54001
Guerrero Sánchez, D.; Tkachuk, V. V.
2017
Some new versions of an old game. Zbl 0838.54005
1995
Calibers of spaces of functions and the metrization problem for compact subsets of $$C_ p(X)$$. Zbl 0653.54010
Tkachuk, V. V.
1988
A $$C_p$$-theory problem book. Functional equivalencies. Zbl 1354.54001
2016
Lifting the Collins-Roscoe property by condensations. Zbl 1280.54011
2013
Lindelöf $$\Sigma$$-property of $$C_p(X)$$ together with countable spread of $$X$$ implies $$X$$ is cosmic. Zbl 1009.54035
2001
Every scattered space is subcompact. Zbl 1285.54028
Fleissner, William; Tkachuk, Vladimir; Yengulalp, Lynne
2013
Countable character of X in $$\beta$$ X versus countable character of the diagonal X$$\times X$$. Zbl 0637.54003
Ponomarev, V. I.; Tkachuk, V. V.
1987
Methods of the theory of cardinal invariants and the theory of mappings as applied to spaces of functions. Zbl 0739.46008
Tkachuk, V. V.
1991
Neither first countable nor Čech-complete spaces are maximal Tychonoff connected. Zbl 0904.54012
Shakhmatov, D. B.; Tkachenko, M. G.; Tkachuk, V. V.; Watson, S.; Wilson, R. G.
1998
Decomposition of $$C_ p(X)$$ into a countable union of subspaces with “good” properties implies “good” properties of $$C_ p(X)$$. Zbl 0844.54009
Tkachuk, V. V.
1994
When is the space $$C_ p(X)$$ $$\sigma$$-countably-compact? Zbl 0619.54009
Tkachuk, V. V.; Shakhmatov, D. B.
1986
Duality with respect to the functor $$C_ p$$ and cardinal invariants of Suslin number type. Zbl 0568.54005
Tkachuk, V. V.
1985
Approximation of $${\mathbb{R}}^ x$$ with countable subsets of $$C_ p(X)$$ and calibers of the space $$C_ p(X)$$. Zbl 0601.54002
Tkachuk, V. V.
1986
Amsterdam properties of $$C_p(X)$$ imply discreteness of $$X$$. Zbl 1191.54017
Lutzer, D. J.; van Mill, J.; Tkachuk, V. V.
2008
Closed discrete selections for sequences of open sets in function spaces. Zbl 1399.54047
Tkachuk, V. V.
2018
Connectifying some spaces. Zbl 0855.54026
Alas, Ofelia T.; Tkačenko, Mikhail G.; Tkachuk, Vladimir V.; Wilson, Richard G.
1996
Properties of function spaces reflected by uniformly dense subspaces. Zbl 1121.54034
Tkachuk, V. V.
2003
The approximation of compacta by finite $$T_0$$-spaces. Zbl 1052.54017
Kopperman, Ralph D.; Tkachuk, Vladimir V.; Wilson, Richard G.
2003
Box products are often discretely generated. Zbl 1236.54005
Tkachuk, V. V.; Wilson, R. G.
2012
In quest of weaker connected topologies. Zbl 0886.54034
Tkačenko, M. G.; Tkachuk, V. V.; Uspenskii, V. V.; Wilson, R. G.
1996
Discrete reflexivity in function spaces. Zbl 1316.54007
Tkachuk, V. V.
2015
Maximal pseudocompact spaces and the Preiss-Simon property. Zbl 1290.54013
Alas, Ofelia T.; Tkachuk, Vladimir V.; Wilson, Richard G.
2014
Diagonals and discrete subsets of squares. Zbl 1274.54101
2013
Density properties and points of uncountable order for families of open sets in function spaces. Zbl 1019.54005
Okunev, Oleg G.; Tkachuk, Vladimir V.
2002
Pseudocompact Whyburn spaces need not be Fréchet. Zbl 1028.54004
Pelant, Jan; Tkachenko, Mihail G.; Tkachuk, Vladimir V.; Wilson, Richard G.
2003
The $$FDS$$-property and spaces in which compact sets are closed. Zbl 1077.54010
Alas, O. T.; Tkachenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
2005
Strong domination by countable and second countable spaces. Zbl 1381.54018
Tkachuk, V. V.
2017
Reflecting topological properties in continuous images. Zbl 1257.54022
2012
A selection of recent results and problems in $$C_{p}$$-theory. Zbl 1131.54021
Tkachuk, V. V.
2007
On a method of constructing examples of M-equivalent spaces. Zbl 0573.22003
Tkachuk, V. V.
1983
On the multiplicativity of certain properties of spaces of mappings in the topology of pointwise convergence. Zbl 0577.54013
Tkachuk, V. V.
1984
Cellular-compact spaces and their applications. Zbl 1449.54033
Tkachuk, V. V.; Wilson, R. G.
2019
On the relative small inductive dimension. Zbl 0526.54020
Tkachuk, V. V.
1982
Weaker connected Hausdorff topologies on spaces with a countable network. Zbl 1010.54021
Tkachuk, Vladimir V.; Wilson, Richard G.
2001
Weaker connected and weaker nowhere locally compact topologies for metrizable and similar spaces. Zbl 1007.54029
Gruenhage, G.; Tkachuk, V. V.; Wilson, R. G.
2002
Connectedness and local connectedness of topological groups and extensions. Zbl 1010.54043
Alas, O. T.; Tkačenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
1999
Any pseudo-$$pG$$-compact group $$G$$ is fine. Zbl 1038.22001
Itzkowitz, G. L.; Tkachuk, V. V.
2003
Dyadicity index and metrizability of compact continuous images of function spaces. Zbl 1078.54008
Tkachenko, M. G.; Tkachuk, V. V.
2005
Point-countable $$\pi$$-bases in first countable and similar spaces. Zbl 1080.54018
2005
A note on splittable spaces. Zbl 0769.54004
1992
Calibers, $$\omega$$-continuous maps and function spaces. Zbl 1314.54024
Okunev, Oleg G.; Tkachuk, Vladimir V.
2014
Domination by a Polish space of the complement of the diagonal of $$X$$ implies that $$X$$ is cosmic. Zbl 1355.54032
Guerrero Sánchez, David; Tkachuk, Vladimir V.
2016
Discrete reflexivity and complements of the diagonal. Zbl 1299.54070
Burke, D.; Tkachuk, V. V.
2013
Remainders over discrets. Some applications. Zbl 0722.54020
Tkachuk, V. V.
1990
Some non-multiplicative properties are $$l$$-invariant. Zbl 0886.54005
Tkachuk, V. V.
1997
Spaces of functions and topological invariants. (Prostranstva funktsij i topologicheskie invarianty.) Zbl 0853.54001
Arkhangel’skij, A. V.; Tkachuk, V. V.
1985
Every $$k$$-separable Čech-complete space is subcompact. Zbl 1318.54012
van Mill, Jan; Tkachuk, Vladimir V.
2015
Lindelöf $$P$$-spaces need not be Sokolov. Zbl 1399.54071
2017
On a supertopological cardinal invariant. Zbl 0562.54008
Tkachuk, V. V.
1984
Self-transversal spaces and their discrete subspaces. Zbl 1142.54017
Juhász, I.; Tkachenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
2005
Ultracompleteness in Eberlein-Grothendieck spaces. Zbl 1127.54013
Jardón, D.; Tkachuk, V. V.
2004
Many Eberlein-Grothendieck spaces have no non-trivial convergent sequences. Zbl 1406.54010
2018
A nice subclass of functionally countable spaces. Zbl 1424.54071
2018
Two point-picking games derived from a property of function spaces. Zbl 1407.54012
2018
More reflections in small continuous images. Zbl 1394.54002
Tkachenko, M. G.; Tkachuk, V. V.
2017
Additivity of metrizability and related properties. Zbl 0991.54032
Balogh, Zoltan; Gruenhage, Gary; Tkachuk, Vladimir
1998
Reflections in small continuous images of ordered spaces. Zbl 1344.54001
Tkachuk, Vladimir V.; Wilson, Richard G.
2016
Lindelöf $$\Sigma$$-property in $$C_p(X)$$ and $$p(C_p(X))=\omega$$ do not imply countable network weight in $$X$$. Zbl 0973.54003
Okunev, O. G.; Tkachuk, V. V.
2001
Finite and countable additivity of topological properties in nice spaces. Zbl 0802.54002
Tkachuk, V. V.
1994
What if $$C_ p(X)$$ is perfectly normal? Zbl 0868.54002
1995
On a method for constructing examples of M-equivalent spaces. Zbl 0536.22002
Tkachuk, V. V.
1983
Splittability over some classes of Corson compact spaces. Zbl 1331.54018
2015
Maximal countably compact spaces and embeddings in MP-spaces. Zbl 1349.54061
Tkachuk, V. V.; Wilson, R. G.
2015
Almost Lindelöf and locally Lindelöf spaces. Zbl 0666.54014
Tkachuk, V. V.
1988
Some criteria for $$C_p(X)$$ to be an $$L\Sigma(\leq\omega)$$-space. Zbl 1273.54023
Tkachuk, V. V.
2013
If $$K$$ is Gul’ko compact, then every iterated function space $$C_{p,n}(K)$$ has a uniformly dense subspace of countable pseudocharacter. Zbl 1404.54014
Aguilar-Velázquez, J.; Tkachuk, V. V.
2019
Small diagonal of $$X$$ and calibers of $$C_{p}(X)$$. Zbl 1403.54011
Tkachuk, V. V.
2019
Exponential density vs exponential domination. Zbl 07377537
Bella, A.; Tkachuk, V. V.
2021
Some applications of discrete selectivity and Banakh property in function spaces. Zbl 07189612
2020
Domination by small sets versus density. Zbl 1468.54027
Gruenhage, G.; Tkachuk, V. V.; Wilson, R. G.
2020
Cellular compactness in function spaces. Zbl 1441.54012
2020
Exponential domination in function spaces. Zbl 07286012
2020
For every space $$X$$, either $$C_{p}C_{p}(X)$$ or $$C_{p}C_{p}C_{p}(X)$$ is $$\psi$$-separable. Zbl 1459.54014
Tkachuk, V. V.
2020
Some applications of exponentially separable spaces. Zbl 07307653
2020
Cellular-compact spaces and their applications. Zbl 1449.54033
Tkachuk, V. V.; Wilson, R. G.
2019
If $$K$$ is Gul’ko compact, then every iterated function space $$C_{p,n}(K)$$ has a uniformly dense subspace of countable pseudocharacter. Zbl 1404.54014
Aguilar-Velázquez, J.; Tkachuk, V. V.
2019
Small diagonal of $$X$$ and calibers of $$C_{p}(X)$$. Zbl 1403.54011
Tkachuk, V. V.
2019
Star countable spaces and $$\omega$$-domination of discrete subspaces. Zbl 1423.54050
Alas, Ofelia T.; Junqueira, Lucia R.; Tkachuk, Vladimir V.; Wilson, Richard G.
2019
Domain representable Lindelöf spaces are cofinally Polish. Zbl 1449.54035
2019
Closed discrete selections for sequences of open sets in function spaces. Zbl 1399.54047
Tkachuk, V. V.
2018
Many Eberlein-Grothendieck spaces have no non-trivial convergent sequences. Zbl 1406.54010
2018
A nice subclass of functionally countable spaces. Zbl 1424.54071
2018
Two point-picking games derived from a property of function spaces. Zbl 1407.54012
2018
Polish factorizations, cosmic spaces and domain representability. Zbl 1404.54022
2018
Weakly linearly Lindelöf monotonically normal spaces are Lindelöf. Zbl 1413.54082
Juhász, István; Tkachuk, Vladimir V.; Wilson, Richard G.
2017
If $$C_{p}(X)$$ is strongly dominated by a second countable space, then $$X$$ is countable. Zbl 1394.54001
Guerrero Sánchez, D.; Tkachuk, V. V.
2017
Strong domination by countable and second countable spaces. Zbl 1381.54018
Tkachuk, V. V.
2017
Lindelöf $$P$$-spaces need not be Sokolov. Zbl 1399.54071
2017
More reflections in small continuous images. Zbl 1394.54002
Tkachenko, M. G.; Tkachuk, V. V.
2017
Sixteen years of $$C_p$$-theory. Zbl 1371.54001
Tkachuk, V. V.
2017
A $$C_p$$-theory problem book. Functional equivalencies. Zbl 1354.54001
2016
Domination by a Polish space of the complement of the diagonal of $$X$$ implies that $$X$$ is cosmic. Zbl 1355.54032
Guerrero Sánchez, David; Tkachuk, Vladimir V.
2016
Reflections in small continuous images of ordered spaces. Zbl 1344.54001
Tkachuk, Vladimir V.; Wilson, Richard G.
2016
A $$C_p$$-theory problem book. Compactness in function spaces. Zbl 1325.54001
2015
Discrete reflexivity in function spaces. Zbl 1316.54007
Tkachuk, V. V.
2015
Every $$k$$-separable Čech-complete space is subcompact. Zbl 1318.54012
van Mill, Jan; Tkachuk, Vladimir V.
2015
Splittability over some classes of Corson compact spaces. Zbl 1331.54018
2015
Maximal countably compact spaces and embeddings in MP-spaces. Zbl 1349.54061
Tkachuk, V. V.; Wilson, R. G.
2015
A $$C_p$$-theory problem book. Special features of function spaces. Zbl 1303.54006
2014
A monotone version of the Sokolov property and monotone retractability in function spaces. Zbl 1308.54016
Rojas-Hernández, R.; Tkachuk, V. V.
2014
Maximal pseudocompact spaces and the Preiss-Simon property. Zbl 1290.54013
Alas, Ofelia T.; Tkachuk, Vladimir V.; Wilson, Richard G.
2014
Calibers, $$\omega$$-continuous maps and function spaces. Zbl 1314.54024
Okunev, Oleg G.; Tkachuk, Vladimir V.
2014
Discrete reflexivity in GO spaces. Zbl 1310.54020
Tkachuk, Vladimir V.; Wilson, Richard G.
2014
Lifting the Collins-Roscoe property by condensations. Zbl 1280.54011
2013
Every scattered space is subcompact. Zbl 1285.54028
Fleissner, William; Tkachuk, Vladimir; Yengulalp, Lynne
2013
Diagonals and discrete subsets of squares. Zbl 1274.54101
2013
Discrete reflexivity and complements of the diagonal. Zbl 1299.54070
Burke, D.; Tkachuk, V. V.
2013
Some criteria for $$C_p(X)$$ to be an $$L\Sigma(\leq\omega)$$-space. Zbl 1273.54023
Tkachuk, V. V.
2013
The Collins-Roscoe property and its applications in the theory of function spaces. Zbl 1245.54022
Tkachuk, V. V.
2012
Box products are often discretely generated. Zbl 1236.54005
Tkachuk, V. V.; Wilson, R. G.
2012
Reflecting topological properties in continuous images. Zbl 1257.54022
2012
A $$C_p$$-theory problem book. Topological and function spaces. Zbl 1222.54002
2011
Domination by second countable spaces and Lindelöf $$\Sigma$$-property. Zbl 1213.54033
Cascales, B.; Orihuela, J.; Tkachuk, V. V.
2011
On the extent of star countable spaces. Zbl 1246.54017
Alas, Ofelia T.; Junqueira, Lucia R.; van Mill, Jan; Tkachuk, Vladimir V.; Wilson, Richard G.
2011
Countably compact first countable subspaces of ordinals have the Sokolov property. Zbl 1274.54060
2011
Lindelöf $$\Sigma$$-spaces: an omnipresent class. Zbl 1246.54002
2010
A glance at spaces with closure-preserving local bases. Zbl 1187.54021
Dow, A.; Martínez, R. Ramírez; Tkachuk, V. V.
2010
Monolithic spaces and $$D$$-spaces revisited. Zbl 1165.54009
Tkachuk, V. V.
2009
A broader context for monotonically monolithic spaces. Zbl 1274.54043
Alas, O. T.; Tkachuk, V. V.; Wilson, R. G.
2009
Condensations of $$C_p(X)$$ onto $$\sigma$$-compact spaces. Zbl 1190.54011
Tkachuk, V. V.
2009
Embeddings and frames of function spaces. Zbl 1172.54013
2009
Selective separability: general facts and behavior in countable spaces. Zbl 1165.54008
2008
Amsterdam properties of $$C_p(X)$$ imply discreteness of $$X$$. Zbl 1191.54017
Lutzer, D. J.; van Mill, J.; Tkachuk, V. V.
2008
Classes defined by stars and neighbourhood assignments. Zbl 1131.54022
van Mill, J.; Tkachuk, V. V.; Wilson, R. G.
2007
A quest for nice kernels of neighbourhood assignments. Zbl 1199.54141
Buzyakova, R. Z.; Tkachuk, V. V.; Wilson, R. G.
2007
Condensing function spaces into $$\Sigma$$-products of real lines. Zbl 1126.54012
2007
A selection of recent results and problems in $$C_{p}$$-theory. Zbl 1131.54021
Tkachuk, V. V.
2007
Ultracomplete metalindelöf spaces are almost locally compact. Zbl 1185.54025
Jardón, D.; Tkachuk, V. V.
2007
Covering properties and neighborhood assignments. Zbl 1127.54009
Alas, Ofelia T.; Tkachuk, Vladimir V.; Wilson, Richard G.
2006
When is an ultracomplete space almost locally compact? Zbl 1124.54010
Jardón, D.; Tkachuk, V. V.
2006
Local properties and maximal Tychonof connected spaces. Zbl 1118.54004
van Mill, J.; Tkachenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
2006
A space $$C_p(X)$$ is dominated by irrationals if and only if it is $$K$$-analytic. Zbl 1081.54012
Tkachuk, V. V.
2005
Function spaces and $$d$$-separability. Zbl 1091.54008
2005
A nice class extracted from $$C_p$$-theory. Zbl 1121.54019
2005
The $$FDS$$-property and spaces in which compact sets are closed. Zbl 1077.54010
Alas, O. T.; Tkachenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
2005
Dyadicity index and metrizability of compact continuous images of function spaces. Zbl 1078.54008
Tkachenko, M. G.; Tkachuk, V. V.
2005
Point-countable $$\pi$$-bases in first countable and similar spaces. Zbl 1080.54018
2005
Self-transversal spaces and their discrete subspaces. Zbl 1142.54017
Juhász, I.; Tkachenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
2005
Ultracompleteness in Eberlein-Grothendieck spaces. Zbl 1127.54013
Jardón, D.; Tkachuk, V. V.
2004
Properties of function spaces reflected by uniformly dense subspaces. Zbl 1121.54034
Tkachuk, V. V.
2003
The approximation of compacta by finite $$T_0$$-spaces. Zbl 1052.54017
Kopperman, Ralph D.; Tkachuk, Vladimir V.; Wilson, Richard G.
2003
Pseudocompact Whyburn spaces need not be Fréchet. Zbl 1028.54004
Pelant, Jan; Tkachenko, Mihail G.; Tkachuk, Vladimir V.; Wilson, Richard G.
2003
Any pseudo-$$pG$$-compact group $$G$$ is fine. Zbl 1038.22001
Itzkowitz, G. L.; Tkachuk, V. V.
2003
Topologies generated by discrete subspaces. Zbl 1009.54005
Dow, A.; Tkachenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
2002
Density properties and points of uncountable order for families of open sets in function spaces. Zbl 1019.54005
Okunev, Oleg G.; Tkachuk, Vladimir V.
2002
Weaker connected and weaker nowhere locally compact topologies for metrizable and similar spaces. Zbl 1007.54029
Gruenhage, G.; Tkachuk, V. V.; Wilson, R. G.
2002
Strengthening connected Tychonoff topologies. Zbl 1016.54014
Shakhmatov, D.; Tkachenko, M.; Tkachuk, V.; Wilson, R. G.
2002
A short proof of a classical result of M. G. Tkachenko. Zbl 1083.54017
Tkachuk, V. V.
2002
Almost closed sets and topologies they determine. Zbl 1053.54004
Tkachuk, V. V.; Yaschenko, I. V.
2001
Lindelöf $$\Sigma$$-property of $$C_p(X)$$ together with countable spread of $$X$$ implies $$X$$ is cosmic. Zbl 1009.54035
2001
Weaker connected Hausdorff topologies on spaces with a countable network. Zbl 1010.54021
Tkachuk, Vladimir V.; Wilson, Richard G.
2001
Lindelöf $$\Sigma$$-property in $$C_p(X)$$ and $$p(C_p(X))=\omega$$ do not imply countable network weight in $$X$$. Zbl 0973.54003
Okunev, O. G.; Tkachuk, V. V.
2001
On dense subspaces satisfying stronger separation axioms. Zbl 1079.54518
Alas, Ofelia T.; Tkachenko, Mikhail G.; Tkachuk, Vladimir V.; Wilson, Richard G.; Yaschenko, Ivan V.
2001
Irresolvable and submaximal spaces: Homogeneity versus $$\sigma$$-discreteness and new ZFC examples. Zbl 0984.54002
Alas, O. T.; Sanchis, M.; Tkačenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
2000
Topological groups with thin generating sets. Zbl 0964.22002
Dikranjan, D.; Tkačenko, M.; Tkachuk, V.
2000
Behavior of the Lindelöf $$\Sigma$$-property in iterated function spaces. Zbl 0983.54019
Tkachuk, V. V.
2000
Closures of discrete sets often reflect global properties. Zbl 1002.54021
Alas, Ofelia T.; Tkachuk, Vladimir V.; Wilson, Richard G.
2000
No submaximal topology on a countable set is $$\mathbf{T}_{\text \textbf{1}}$$-complementary. Zbl 0932.54035
Tkačenko, Mikhail G.; Tkachuk, Vladimir V.; Wilson, Richard G.; Yaschenko, Ivan V.
2000
Some topological groups with and some without suitable sets. Zbl 0983.54038
Dikranjan, D.; Tkačenko, M.; Tkachuk, V.
1999
Connectedness and local connectedness of topological groups and extensions. Zbl 1010.54043
Alas, O. T.; Tkačenko, M. G.; Tkachuk, V. V.; Wilson, R. G.
1999
Neither first countable nor Čech-complete spaces are maximal Tychonoff connected. Zbl 0904.54012
Shakhmatov, D. B.; Tkachenko, M. G.; Tkachuk, V. V.; Watson, S.; Wilson, R. G.
1998
Additivity of metrizability and related properties. Zbl 0991.54032
Balogh, Zoltan; Gruenhage, Gary; Tkachuk, Vladimir
1998
Almost all submaximal groups are paracompact and $$\sigma$$-discrete. Zbl 0904.54027
Alas, O. T.; Protasov, I. V.; Tkačenko, M. G.; Tkachuk, V. V.; Wilson, R. G.; Yaschenko, I. V.
1998
When do connected spaces have nice connected preimages? Zbl 0903.54004
1998
Some non-multiplicative properties are $$l$$-invariant. Zbl 0886.54005
Tkachuk, V. V.
1997
Connectifying some spaces. Zbl 0855.54026
Alas, Ofelia T.; Tkačenko, Mikhail G.; Tkachuk, Vladimir V.; Wilson, Richard G.
1996
In quest of weaker connected topologies. Zbl 0886.54034
Tkačenko, M. G.; Tkachuk, V. V.; Uspenskii, V. V.; Wilson, R. G.
1996
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