Edit Profile Protasov, Igor Volodymyrovych Compute Distance To: Compute Author ID: protasov.igor-v Published as: Protasov, I.; Protasov, I. V.; Protasov, Igor; Protasov, Igor V.; Protasov, Igor Volodymyrovych; Protasov, Ihor Homepage: http://csc.knu.ua/en/person/protasov External Links: MGP · Math-Net.Ru · ORCID · dblp Documents Indexed: 249 Publications since 1976, including 6 Books Reviewing Activity: 72 Reviews all top 5 Co-Authors 121 single-authored 20 Banakh, Taras Onufrievich 16 Protasova, Ksenia D. 12 Slobodianiuk, Sergii 8 Protasova, Ksenya D. 6 Petrenko, Oleksandr 6 Slobodianiuk, Serhii 6 Zelenyuk, E. G. 5 Charin, V. S. 5 Filali, Mahmoud 5 Lutsenko, Ie. 4 Dikranjan, Dikran N. 4 Protasova, Olga I. 4 Tsybenko, Yu. V. 3 Komarov, Yu. A. 3 Petrenko, O. V. 3 Slobodianiuk, S. V. 3 Strauss, Dona 2 Charyev, A. 2 Guran, Igor I. 2 Hindman, Neil 2 Mukhin, Yurii N. 2 Pym, John S. 2 Saryev, A. 2 Sidorchuk, A. D. 2 Zava, Nicolò 1 Alas, Ofelia Teresa 1 Choban, Mitrofan Mihailovich 1 Gabriyelyan, Saak S. 1 Gasanenko, Vitalii Alekseevich 1 Gnatenko, Andriy 1 Hernández, Salvador 1 Idzik, Adam 1 Leiderman, Arkady G. 1 Malykhin, Viatcheslav I. 1 Ostapenko, V. V. 1 Pikhurko, Oleg 1 Popov, Yurij D. 1 Pszczola, Krzysztof J. 1 Repovš, Dušan D. 1 Sipacheva, Ol’ga V. 1 Slobodyanyuk, S. 1 Stukotilov, V. S. 1 Tkachenko, Mikhail Gelievich 1 Tkachuk, Vladimir Vladimirovich 1 Tsvietkova, Anastasiia 1 Vasil’eva, V. A. 1 Vasil’jeva, Vira A. 1 Vasyl’jeva, V. O. 1 Wilson, Richard Gordon 1 Yaschenko, Ivan V. 1 Yurchuk, T. L. 1 Zarichnyi, Michael Mikhailovich 1 Zelenuk, E. G. 1 Zelenyuk, Yuliya all top 5 Serials 33 Matematychni Studiï 23 Ukrainian Mathematical Journal 22 Topology and its Applications 19 Algebra and Discrete Mathematics 16 Ukraïns’kyĭ Matematychnyĭ Zhurnal 13 Mathematical Notes 8 Journal of Mathematical Sciences (New York) 7 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 7 Applied General Topology 6 Commentationes Mathematicae Universitatis Carolinae 6 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 6 Applied General Topology 5 Siberian Mathematical Journal 4 Topology Proceedings 4 Journal of Group Theory 4 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 3 Soviet Mathematics. Doklady 3 Visnyk L’vivs’kogo Universytetu. Seriya Mekhaniko-Matematychna 3 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 3 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka 3 Axioms 2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 2 Matematicheskie Zametki 2 Mathematics of the USSR. Izvestiya 2 Notre Dame Journal of Formal Logic 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Soviet Mathematics 2 International Journal of Algebra and Computation 2 Dopovidi Akademiï Nauk Ukraïni 1 Algebra Universalis 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Fundamenta Mathematicae 1 Journal of Graph Theory 1 Semigroup Forum 1 Combinatorica 1 Questions and Answers in General Topology 1 Izvestiya Akademii Nauk Turkmenskoĭ SSR. Seriya Fiziko-Tekhnicheskikh, Khimicheskikh i Geologicheskikh Nauk 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematics of the USSR, Sbornik 1 Matematicheskiĭ Sbornik 1 The Electronic Journal of Combinatorics 1 Sbornik: Mathematics 1 U Sviti Matematyky 1 Analele Universităţii din Oradea. Fascicola Matematică 1 Issledovanie Operatsiĭ i ASU 1 Central European Journal of Mathematics 1 Advances and Applications in Discrete Mathematics 1 Proceedings of the International Geometry Center 1 Carpathian Mathematical Publications 1 European Journal of Mathematics all top 5 Fields 142 Topological groups, Lie groups (22-XX) 124 General topology (54-XX) 60 Group theory and generalizations (20-XX) 51 Combinatorics (05-XX) 19 Mathematical logic and foundations (03-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 14 Abstract harmonic analysis (43-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Number theory (11-XX) 5 General algebraic systems (08-XX) 5 Geometry (51-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 Associative rings and algebras (16-XX) 3 Measure and integration (28-XX) 2 Real functions (26-XX) 2 Differential geometry (53-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 144 Publications have been cited 698 times in 251 Documents Cited by ▼ Year ▼ Ball structures and colorings of graphs and groups. Zbl 1147.05033Protasov, I.; Banakh, T. 47 2003 Topologies on groups determined by sequences. Zbl 0977.54029Protasov, I.; Zelenyuk, E. 40 1999 Topologies on Abelian groups. Zbl 0728.22003Zelenyuk, E. G.; Protasov, I. V. 30 1991 General asymptology. Zbl 1172.54002Protasov, Ihor; Zarichnyi, Michael 24 2007 Coronas of balleans. Zbl 1068.54036Protasov, I. V. 21 2005 Normal ball structures. Zbl 1053.54503Protasov, I. V. 20 2003 Sparse, thin and other subsets of groups. Zbl 1186.20024Lutsenko, Ie.; Protasov, I. V. 17 2009 Potentially compact Abelian groups. Zbl 0704.22003Zelenyuk, E. G.; Protasov, I. V. 13 1990 Maximal resolvability of bounded groups. Zbl 0866.54032Malykhin, V. I.; Protasov, I. V. 12 1996 Discrete subsets of topological groups. Zbl 0836.22003Protasov, I. V. 11 1994 Ultrafilters and topologies on groups. Zbl 1316.54002Filali, Mahmoud; Protasov, Igor V. 10 2010 Functionally balanced groups. Zbl 0737.22001Protasov, I. V. 10 1991 Balleans and \(G\)-spaces. Zbl 1283.54007Petrenko, O. V.; Protasov, I. V. 9 2012 Thin subsets of balleans. Zbl 1207.54010Lutsenko, Ievgen; Protasov, Igor 9 2010 Boolean group ideals and the ideal structure of \(\beta G\). Zbl 1199.22007Filali, M.; Lutsenko, Ie.; Protasov, I. V. 9 2009 Counting maximal topologies on countable groups and rings. Zbl 1171.54029Dikranjan, D.; Protasov, Igor 9 2008 Combinatorics of numbers. Transl. from the Russian manuscript by M. Zarichnyi and T. Banakh. Zbl 1102.05301Protasov, I. 9 1997 Filters and topologies on semigroups. Zbl 0927.22009Protasov, I. V. 9 1994 Algebraically determined topologies on permutation groups. Zbl 1277.20006Banakh, Taras; Guran, Igor; Protasov, Igor 8 2012 Selective survey on subset combinatorics of groups. Zbl 1283.20029Protasov, Igor V. 8 2011 Relatively thin and sparse subsets of groups. Zbl 1258.20027Lutsenko, Ie.; Protasov, I. V. 8 2011 Sketch of group balleans. Zbl 1061.22002Protasov, I. V.; Protasova, O. I. 8 2004 Continuity of multiplication in the largest compactification of a locally compact group. Zbl 1024.22002Protasov, I. V.; Pym, J. S. 8 2001 Complemented topologies on abelian groups. Zbl 0997.22002Zelenyuk, E. G.; Protasov, I. V. 8 2001 Maximal topologies on groups. Zbl 0935.22002Protasov, I. V. 8 1998 On uniformly discrete subsets in uniform spaces and topological groups. Zbl 1361.54019Banakh, T.; Gabriyelyan, S.; Protasov, I. 7 2016 Asymptotic proximities. Zbl 1179.54041Protasov, I. V. 7 2008 Slowly oscillating functions on locally compact groups. Zbl 1181.22011Filali, M.; Protasov, I. 7 2005 Scattered subsets of groups. Zbl 1359.20027Banakh, T. O.; Protasov, I. V.; Slobodianiuk, S. V. 6 2015 On the subset combinatorics of \(G\)-spaces. Zbl 1334.54055Protasov, Igor; Slobodianiuk, Sergii 6 2014 Topologizations of a set endowed with an action of a monoid. Zbl 1294.54020Banakh, Taras; Protasov, Igor; Sipacheva, Olga 6 2014 Cellularity and density of balleans. Zbl 1152.54312Protasov, I. V. 6 2007 Irresolvable topologies on groups. Zbl 0934.22007Protasov, I. V. 6 1998 The semigroup of closed subsets of a topological group. Zbl 0686.22001Protasov, I. V.; Saryev, A. 6 1988 On the lattice of subgroups of a pro-finite group. Zbl 0389.22003Protasov, I. V. 6 1978 On hyperballeans of bounded geometry. Zbl 1409.54010Protasov, Igor; Protasova, Ksenia 5 2018 Ultracompanions of subsets of a group. Zbl 1324.54044Protasov, I.; Slobodianiuk, S. 5 2014 Thin ultrafilters. Zbl 1258.03057Petrenko, O.; Protasov, I. V. 5 2012 Balleans of bounded geometry and G-spaces. Zbl 1164.37301Protasov, I. V. 5 2008 Every infinite group can be generated by P-small subset. Zbl 1112.20028Dikranjan, Dikran; Protasov, Igor 5 2006 Resolvability of \(\tau\)-bounded groups. Zbl 0927.22001Protasov, I. V. 5 1995 Ultrafilters and topologies on groups. Zbl 0828.22002Protasov, I. V. 5 1993 Compactness in the lattice of subgroups of a topological group. Zbl 0477.22002Komarov, Yu. A.; Protasov, I. V. 5 1981 Dualisms of topological abelian groups. Zbl 0428.22001Protasov, I. V. 5 1979 On projections of topological groups. Zbl 0434.22002Protasov, I. V.; Charin, V. S. 5 1978 Balleans, hyperballeans and ideals. Zbl 1429.54035Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò 4 2019 Classifying homogeneous cellular ordinal balleans up to coarse equivalence. Zbl 1394.54015Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S. 4 2017 On asymorphisms of groups. Zbl 1375.20048Protasov, Igor; Slobodianiuk, Serhii 4 2017 The combinatorial derivation. Zbl 1293.20002Protasov, Igor V. 4 2013 Balleans and filters. Zbl 1301.05350Petrenko, O. V.; Protasov, I. V. 4 2012 Maximal vector topologies. Zbl 1251.54004Protasov, I. V. 4 2012 Coronas of ultrametric spaces. Zbl 1240.54087Protasov, I. V. 4 2011 Spread of balleans. Zbl 1180.54008Filali, M.; Protasov, I. V. 4 2008 Balleans of bounded geometry and \(G\)-spaces. Zbl 1164.37302Protasov, Igor V. 4 2008 On closed ideals of \(\beta G\). Zbl 1127.22002Protasov, I. V.; Protasova, O. I. 4 2007 Uniform ball structures. Zbl 1038.54002Protasov, I. V. 4 2003 Metrizable ball structures. Zbl 1038.54001Protasov, I. V. 4 2002 Topologies on \(S\) determined by idempotents in \(\beta S\). Zbl 0970.54036Hindman, Neil; Protasov, Igor; Strauss, Dona 4 1998 Strongly summable ultrafilters on abelian groups. Zbl 0934.22005Hindman, Neil; Protasov, Igor; Strauss, Dona 4 1998 The topological center of the semigroup of free ultrafilters. Zbl 0915.22002Protasov, I. V. 4 1998 Asymmetrically decomposable Abelian groups. Zbl 0872.20048Protasov, I. V. 4 1996 Points of joint continuity for the semigroup of ultrafilters on an Abelian group. Zbl 0870.22001Protasov, I. V. 4 1996 Topological groups with \(\sigma\)-compact space of subgroups. Zbl 0574.22003Protasov, I. V. 4 1985 Connectedness in the space of subgroups. Zbl 0517.22004Protasov, I. V.; Tsybenko, Yu. V. 4 1983 On topologies in the lattice of subgroups. Zbl 0468.22003Protasov, I. V. 4 1981 Topological Abelian groups with a locally compact lattice of closed subgroups. Zbl 0434.22003Protasov, I. V.; Saryev, A. 4 1980 A note on partitions of groups. Zbl 1337.22003Protasov, Igor; Slobodianiuk, Sergii 3 2015 Ultrafilters on metric spaces. Zbl 1293.54010Protasov, I. V. 3 2014 Thin subsets of topological groups. Zbl 1282.22001Protasov, I. V. 3 2013 Balleans of topological groups. Zbl 1291.22002Hernández, Salvador; Protasov, Igor V. 3 2011 Partitions of groups and matroids into independent subsets. Zbl 1224.05084Banakh, Taras; Protasov, Igor 3 2010 Decomposition of cellular balleans. Zbl 1193.54015Protasov, I. V.; Tsvietkova, Anastasiia 3 2010 Counting \(\Omega \)-ideals. Zbl 1202.08003Protasov, Igor V. 3 2009 Small subsets of groups. Zbl 1189.20033Protasov, I. V. 3 2009 Dynamical equivalences on \(G^*\). Zbl 1146.22005Protasov, I. V. 3 2008 Resolvability of ball structures. Zbl 1062.54006Protasov, I. V. 3 2004 Binary coronas of balleans. Zbl 1066.54003Protasov, I. V. 3 2003 Morphisms of ball’s structures of groups and graphs. Zbl 1003.05053Protasov, I. V. 3 2002 The Chabauty topology on the lattice of closed subgroups. Zbl 0574.22002Protasov, I. V.; Tsybenko, Yu. V. 3 1984 Topological properties of the lattice of subgroups. Zbl 0456.22002Protasov, I. V. 3 1980 Topological groups with compact lattice of closed subgroups. Zbl 0431.22002Protasov, I. V. 3 1979 Groups with uniquely generated invariant subgroups. Zbl 0419.22004Protasov, I. V.; Charin, V. S. 3 1977 Functional boundedness of balleans: coarse versions of compactness. Zbl 1432.54025Banakh, Taras; Protasov, Igor 2 2019 The dynamical look at the subsets of a group. Zbl 1329.54038Protasov, Igor V.; Slobodianiuk, Sergii 2 2015 Thin subsets of groups. Zbl 1343.20036Protasov, I. V.; Slobodyanyuk, S. 2 2014 Around \(P\)-small subsets of groups. Zbl 1321.20040Protasov, I. V.; Protasova, K. D. 2 2014 Densities, submeasures and partitions of groups. Zbl 1405.05192Banakh, Taras; Protasov, Igor; Slobodianiuk, Sergiy 2 2014 Asymptotic structures of cardinals. Zbl 1304.54009Petrenko, Oleksandr; Protasov, Igor; Slobodianiuk, Sergii 2 2014 The combinatorial derivation and its inverse mapping. Zbl 1300.20001Protasov, Igor V. 2 2013 Partitions of groups into sparse subsets. Zbl 1258.20036Protasov, Igor 2 2012 Kaleidoscopical configurations in \(G\)-spaces. Zbl 1243.05060Banakh, Taras; Petrenko, Oleksandr; Protasov, Igor; Slobodianiuk, Sergiy 2 2012 Weak \(P\)-points in coronas of \(G\)-spaces. Zbl 1243.54044Protasov, I. V. 2 2012 Kaleidoscopical configurations in groups. Zbl 1301.05133Protasov, I. V.; Slobodianiuk, S. 2 2011 Sketch of vector balleans. Zbl 1199.46009Lutsenko, Ie.; Protasov, I. V. 2 2009 Extraresolvability of balleans. Zbl 1199.54033Protasov, I. V. 2 2007 Small systems of generators of groups. Zbl 1078.20032Protasov, I. V. 2 2004 Partitions of groups into large subsets. Zbl 1080.20028Protasov, I. V. 2 2003 Some open problems in topological algebra. Zbl 1037.54001Banakh, Taras; Čhoban, Mitrofan; Guran, Igor; Protasov, Igor 2 2003 Continuity in \(G^*\). Zbl 1027.54036Protasov, I. V. 2 2003 Resolvability of groups. Zbl 0936.22002Protasov, I. V. 2 1998 Coarse spaces, ultrafilters and dynamical systems. Zbl 1450.54011Protasov, Igor 1 2021 Closeness and linkness in balleans. Zbl 1437.54026Protasov, I.; Protasova, K. 1 2020 Balleans, hyperballeans and ideals. Zbl 1429.54035Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò 4 2019 Functional boundedness of balleans: coarse versions of compactness. Zbl 1432.54025Banakh, Taras; Protasov, Igor 2 2019 Constructing balleans. Zbl 1432.54024Banakh, Taras O.; Protasov, Igor 1 2019 Hyperballeans of groups. Zbl 1425.54011Dikranjan, D.; Protasov, I.; Zava, N. 1 2019 Extremal balleans. Zbl 1421.54022Protasov, Igor 1 2019 On hyperballeans of bounded geometry. Zbl 1409.54010Protasov, Igor; Protasova, Ksenia 5 2018 A note on bornologies. Zbl 1422.57060Protasov, I. V. 1 2018 Ideals in \(\mathcal{P}_G\) and \(\beta G\). Zbl 1416.22003Protasov, Igor; Protasova, Ksenia 1 2018 Classifying homogeneous cellular ordinal balleans up to coarse equivalence. Zbl 1394.54015Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S. 4 2017 On asymorphisms of groups. Zbl 1375.20048Protasov, Igor; Slobodianiuk, Serhii 4 2017 Lattices of coarse structures. Zbl 07053815Protasov, I. V.; Protasova, K. D. 1 2017 Ramsey-product subsets of a group. Zbl 1410.05215Banakh, T.; Protasov, I.; Protasova, K. 1 2017 On recurrence in \(G\)-spaces. Zbl 1378.37028Protasov, Igor; Protasova, Ksenia 1 2017 Selective and Ramsey ultrafilters on \(G\)-spaces. Zbl 1368.05150Petrenko, Oleksandr; Protasov, Igor 1 2017 On uniformly discrete subsets in uniform spaces and topological groups. Zbl 1361.54019Banakh, T.; Gabriyelyan, S.; Protasov, I. 7 2016 The comb-like representations of cellular ordinal balleans. Zbl 1358.54009Protasov, Igor; Protasova, Ksenia 1 2016 Box resolvability. Zbl 1343.22001Protasov, Igor 1 2016 Scattered subsets of groups. Zbl 1359.20027Banakh, T. O.; Protasov, I. V.; Slobodianiuk, S. V. 6 2015 A note on partitions of groups. Zbl 1337.22003Protasov, Igor; Slobodianiuk, Sergii 3 2015 The dynamical look at the subsets of a group. Zbl 1329.54038Protasov, Igor V.; Slobodianiuk, Sergii 2 2015 On the subset combinatorics of \(G\)-spaces. Zbl 1334.54055Protasov, Igor; Slobodianiuk, Sergii 6 2014 Topologizations of a set endowed with an action of a monoid. Zbl 1294.54020Banakh, Taras; Protasov, Igor; Sipacheva, Olga 6 2014 Ultracompanions of subsets of a group. Zbl 1324.54044Protasov, I.; Slobodianiuk, S. 5 2014 Ultrafilters on metric spaces. Zbl 1293.54010Protasov, I. V. 3 2014 Thin subsets of groups. Zbl 1343.20036Protasov, I. V.; Slobodyanyuk, S. 2 2014 Around \(P\)-small subsets of groups. Zbl 1321.20040Protasov, I. V.; Protasova, K. D. 2 2014 Densities, submeasures and partitions of groups. Zbl 1405.05192Banakh, Taras; Protasov, Igor; Slobodianiuk, Sergiy 2 2014 Asymptotic structures of cardinals. Zbl 1304.54009Petrenko, Oleksandr; Protasov, Igor; Slobodianiuk, Sergii 2 2014 Partitions of groups. Zbl 1329.20055Protasov, I.; Slobodianiuk, S. 1 2014 Sparse and thin metric spaces. Zbl 1323.54029Protasov, I. V. 1 2014 The combinatorial derivation. Zbl 1293.20002Protasov, Igor V. 4 2013 Thin subsets of topological groups. Zbl 1282.22001Protasov, I. V. 3 2013 The combinatorial derivation and its inverse mapping. Zbl 1300.20001Protasov, Igor V. 2 2013 Balleans and \(G\)-spaces. Zbl 1283.54007Petrenko, O. V.; Protasov, I. V. 9 2012 Algebraically determined topologies on permutation groups. Zbl 1277.20006Banakh, Taras; Guran, Igor; Protasov, Igor 8 2012 Thin ultrafilters. Zbl 1258.03057Petrenko, O.; Protasov, I. V. 5 2012 Balleans and filters. Zbl 1301.05350Petrenko, O. V.; Protasov, I. V. 4 2012 Maximal vector topologies. Zbl 1251.54004Protasov, I. V. 4 2012 Partitions of groups into sparse subsets. Zbl 1258.20036Protasov, Igor 2 2012 Kaleidoscopical configurations in \(G\)-spaces. Zbl 1243.05060Banakh, Taras; Petrenko, Oleksandr; Protasov, Igor; Slobodianiuk, Sergiy 2 2012 Weak \(P\)-points in coronas of \(G\)-spaces. Zbl 1243.54044Protasov, I. V. 2 2012 Selective survey on subset combinatorics of groups. Zbl 1283.20029Protasov, Igor V. 8 2011 Relatively thin and sparse subsets of groups. Zbl 1258.20027Lutsenko, Ie.; Protasov, I. V. 8 2011 Coronas of ultrametric spaces. Zbl 1240.54087Protasov, I. V. 4 2011 Balleans of topological groups. Zbl 1291.22002Hernández, Salvador; Protasov, Igor V. 3 2011 Kaleidoscopical configurations in groups. Zbl 1301.05133Protasov, I. V.; Slobodianiuk, S. 2 2011 Partitions of groups into thin subsets. Zbl 1257.20046Protasov, Igor 1 2011 Ultrafilters and topologies on groups. Zbl 1316.54002Filali, Mahmoud; Protasov, Igor V. 10 2010 Thin subsets of balleans. Zbl 1207.54010Lutsenko, Ievgen; Protasov, Igor 9 2010 Partitions of groups and matroids into independent subsets. Zbl 1224.05084Banakh, Taras; Protasov, Igor 3 2010 Decomposition of cellular balleans. Zbl 1193.54015Protasov, I. V.; Tsvietkova, Anastasiia 3 2010 Sparse, thin and other subsets of groups. Zbl 1186.20024Lutsenko, Ie.; Protasov, I. V. 17 2009 Boolean group ideals and the ideal structure of \(\beta G\). Zbl 1199.22007Filali, M.; Lutsenko, Ie.; Protasov, I. V. 9 2009 Counting \(\Omega \)-ideals. Zbl 1202.08003Protasov, Igor V. 3 2009 Small subsets of groups. Zbl 1189.20033Protasov, I. V. 3 2009 Sketch of vector balleans. Zbl 1199.46009Lutsenko, Ie.; Protasov, I. V. 2 2009 Counting maximal topologies on countable groups and rings. Zbl 1171.54029Dikranjan, D.; Protasov, Igor 9 2008 Asymptotic proximities. Zbl 1179.54041Protasov, I. V. 7 2008 Balleans of bounded geometry and G-spaces. Zbl 1164.37301Protasov, I. V. 5 2008 Spread of balleans. Zbl 1180.54008Filali, M.; Protasov, I. V. 4 2008 Balleans of bounded geometry and \(G\)-spaces. Zbl 1164.37302Protasov, Igor V. 4 2008 Dynamical equivalences on \(G^*\). Zbl 1146.22005Protasov, I. V. 3 2008 Kaleidoscopical graphs and Hamming codes. Zbl 1330.05073Protasov, Igor; Protasova, Ksenia 1 2008 Cellularity of a space of subgroups of a discrete group. Zbl 1212.54100Leiderman, A.; Protasov, I. V. 1 2008 General asymptology. Zbl 1172.54002Protasov, Ihor; Zarichnyi, Michael 24 2007 Cellularity and density of balleans. Zbl 1152.54312Protasov, I. V. 6 2007 On closed ideals of \(\beta G\). Zbl 1127.22002Protasov, I. V.; Protasova, O. I. 4 2007 Extraresolvability of balleans. Zbl 1199.54033Protasov, I. V. 2 2007 Asymptotic oscillations. Zbl 1180.54043Filali, M.; Protasov, I. 1 2007 Every infinite group can be generated by P-small subset. Zbl 1112.20028Dikranjan, Dikran; Protasov, Igor 5 2006 Survey of Balleans. Zbl 1174.54365Protasov, I. V.; Protasova, O. I. 1 2006 Coronas of balleans. Zbl 1068.54036Protasov, I. V. 21 2005 Slowly oscillating functions on locally compact groups. Zbl 1181.22011Filali, M.; Protasov, I. 7 2005 Color-detectors of hypergraphs. Zbl 1088.05034Protasov, I. V.; Protasova, O. I. 1 2005 Sketch of group balleans. Zbl 1061.22002Protasov, I. V.; Protasova, O. I. 8 2004 Resolvability of ball structures. Zbl 1062.54006Protasov, I. V. 3 2004 Small systems of generators of groups. Zbl 1078.20032Protasov, I. V. 2 2004 Ball structures and colorings of graphs and groups. Zbl 1147.05033Protasov, I.; Banakh, T. 47 2003 Normal ball structures. Zbl 1053.54503Protasov, I. V. 20 2003 Uniform ball structures. Zbl 1038.54002Protasov, I. V. 4 2003 Binary coronas of balleans. Zbl 1066.54003Protasov, I. V. 3 2003 Partitions of groups into large subsets. Zbl 1080.20028Protasov, I. V. 2 2003 Some open problems in topological algebra. Zbl 1037.54001Banakh, Taras; Čhoban, Mitrofan; Guran, Igor; Protasov, Igor 2 2003 Continuity in \(G^*\). Zbl 1027.54036Protasov, I. V. 2 2003 Metrizable ball structures. Zbl 1038.54001Protasov, I. V. 4 2002 Morphisms of ball’s structures of groups and graphs. Zbl 1003.05053Protasov, I. V. 3 2002 Continuity of multiplication in the largest compactification of a locally compact group. Zbl 1024.22002Protasov, I. V.; Pym, J. S. 8 2001 Complemented topologies on abelian groups. Zbl 0997.22002Zelenyuk, E. G.; Protasov, I. V. 8 2001 Extremal topologies on groups. Zbl 0989.22003Protasov, I. V. 1 2001 Ultrafilters and decompositions of Abelian groups. Zbl 0981.22001Protasov, I. V. 1 2001 A lemma on extending functions into \(F\)-spaces and homomorphisms between Stone-Čech remainders. Zbl 0962.54029Protasov, I.; Pym, J.; Strauss, D. 1 2000 Topologies on groups determined by sequences. Zbl 0977.54029Protasov, I.; Zelenyuk, E. 40 1999 Monochromatic symmetric subsets in the colorings of Abelian groups. Zbl 0951.22001Protasov, I. V. 1 1999 Topologies on \(\mathbb Z\) determined by sequences: seven open problems. Zbl 0948.22006Protasov, I. V.; Zelenuk, E. G. 1 1999 Maximal topologies on groups. Zbl 0935.22002Protasov, I. V. 8 1998 Irresolvable topologies on groups. Zbl 0934.22007Protasov, I. V. 6 1998 Topologies on \(S\) determined by idempotents in \(\beta S\). Zbl 0970.54036Hindman, Neil; Protasov, Igor; Strauss, Dona 4 1998 Strongly summable ultrafilters on abelian groups. Zbl 0934.22005Hindman, Neil; Protasov, Igor; Strauss, Dona 4 1998 ...and 44 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 161 Authors 75 Protasov, Igor Volodymyrovych 23 Banakh, Taras Onufrievich 23 Gabriyelyan, Saak S. 22 Zelenyuk, Yevhen G. 19 Dikranjan, Dikran N. 9 Protasova, Ksenia D. 7 Tkachenko, Mikhail Gelievich 7 Zava, Nicolò 5 Comfort, William Wistar 5 Filali, Mahmoud 5 Slobodianiuk, Sergii 5 Zelenyuk, Yuliya 4 Außenhofer, Lydia 4 García-Ferreira, Salvador 4 Keyantuo, Valentin 4 Protasova, Ksenya D. 3 Bouziad, Ahmed 3 Hamrouni, Hatem 3 Kąkol, Jerzy 3 Lin, Fucai 3 Marcos, José E. 3 Martin Peinador, Elena 3 Neufang, Matthias 3 Pestov, Vladimir G. 3 Shibakov, Alexander Y. 3 Troallic, Jean-Pierre 3 Tsybenko, Yu. V. 2 Alaste, Tomi 2 Bartoszewicz, Artur 2 Chasco, María Jesús 2 de Cornulier, Yves 2 De La Barrera Mayoral, Daniel 2 Filipczak, Małgorzata 2 Guran, Igor I. 2 Hernández, Salvador 2 Kadri, Bilel 2 Leiderman, Arkady G. 2 Lin, Shou 2 Liu, Chuan 2 Lukács, Gábor 2 Lutsenko, Ie. 2 Malykhin, Vyacheslav Ivanovich 2 Megrelishvili, Michael G. 2 Milan, Chiara 2 Morris, Sidney A. 2 Mukhin, Yurii N. 2 Panasyuk, S. P. 2 Peng, Dekui 2 Petrenko, Oleksandr 2 Piskunov, A. G. 2 Popov, Vladislav V. 2 Ravsky, Alex 2 Salmi, Pekka 2 Slobodianiuk, S. V. 2 Slobodianiuk, Serhii 2 Strauss, Dona 2 Tarieladze, Vasha I. 2 Toko, Wilson 2 Toller, Daniele 2 Yaschenko, Ivan V. 2 Zelenyuk, E. G. 1 Ahmadi Zand, Mohammad Reza 1 Barbieri, Giuseppina Gerarda 1 Bardyla, Serhii 1 Behrouzi, Farid 1 Bella, Angelo 1 Bergelson, Vitaly 1 Bergman, George M. 1 Błaszczyk, Aleksander 1 Botha, Garith 1 Brodsky, N. B. 1 Bruguera, Montserrat 1 Cai, Zhangyong Cai 1 Carlson, Timothy J. 1 Charyev, A. 1 Chekeev, Asylbek A. 1 Chervak, Ostap 1 Cúth, Marek 1 Dales, H. Garth 1 Di Santo, Raffaele 1 Domínguez, Xabier 1 Doucha, Michal 1 Dutka, Joanna 1 Dydak, Jerzy 1 Fernández Bretón, David José 1 Ferri, Stefano 1 Filatova, Maria A. 1 Filipczak, Tomasz 1 Fisher, Steven G. 1 Frączyk, Mikolaj 1 Galindo, Johan F. 1 Gartside, Paul M. 1 Giordano Bruno, Anna 1 Gould, Franklin R. 1 Grainger, Arthur D. 1 Grzegrzolka, Pawel 1 Guevara Parra, Francisco 1 Gyarmati, Katalin 1 He, Wei 1 He, Wei ...and 61 more Authors all top 5 Cited in 55 Serials 93 Topology and its Applications 24 Ukrainian Mathematical Journal 10 Mathematical Notes 9 Proceedings of the American Mathematical Society 9 Journal of Mathematical Sciences (New York) 8 Applied General Topology 6 Journal of Mathematical Analysis and Applications 6 Journal of Pure and Applied Algebra 6 Journal of Group Theory 6 Axioms 5 Semigroup Forum 5 Siberian Mathematical Journal 4 International Journal of Algebra and Computation 4 Topological Algebra and its Applications 3 Bulletin of the Australian Mathematical Society 3 Journal of Functional Analysis 3 Matematychni Studiï 3 European Journal of Mathematics 2 Advances in Mathematics 2 Algebra Universalis 2 Fundamenta Mathematicae 2 Journal of Combinatorial Theory. 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