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Protasov, Igor Volodymyrovych

Author ID: protasov.igor-v Recent zbMATH articles by "Protasov, Igor Volodymyrovych"
Published as: Protasov, I. V.; Protasov, Igor; Protasov, Igor V.; Protasov, I.; Protasov, Igor Volodymyrovych; Protasov, Ihor
Homepage: http://csc.knu.ua/en/person/protasov
External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · dblp
all top 5

Co-Authors

133 single-authored
24 Banakh, Taras Onufrievich
15 Protasova, Ksenia D.
12 Slobodianiuk, Sergii
8 Zelenyuk, Yevhen G.
5 Charin, V. S.
5 Dikranjan, Dikran N.
5 Filali, Mahmoud
5 Lutsenko, Ie.
4 Protasova, Olga I.
4 Slobodianiuk, Serhii
4 Strauss, Dona
4 Tsybenko, Yu. V.
3 Hindman, Neil
3 Komarov, Yu. A.
3 Petrenko, O. V.
3 Petrenko, Oleksandr
2 Charyev, A.
2 Guran, Igor I.
2 Mukhin, Yurii N.
2 Protasova, Ksenya D.
2 Pym, John S.
2 Saryev, A.
2 Sidorchuk, A. D.
2 Slobodianiuk, S. V.
2 Zarichnyi, Michael Mikhailovich
2 Zava, Nicolò
1 Alas, Ofelia Teresa
1 Artemovych, Orest Dem”yanovych
1 Bergelson, Vitaly
1 Bezushchak, Oksana O.
1 Blass, Andreas Raphael
1 Bondarenko, Vitalij M.
1 Choban, Mitrofan Mihailovich
1 Comfort, William Wistar
1 Fish, Alexander
1 Gabriyelyan, Saak S.
1 Gasanenko, Vitalii Alekseevich
1 Gnatenko, Andriy
1 Grigorchuk, Rostislav Ivanovich
1 Hernández, Salvador
1 Idzik, Adam
1 Kurdachenko, Leonid Andriĭovych
1 Landman, Bruce M.
1 Leader, Imre
1 Leiderman, Arkady G.
1 Lukashova, Tetyana D.
1 Maleki, Amir
1 Malykhin, Vyacheslav Ivanovich
1 Oliynyk, A. S.
1 Oliynyk, B. V.
1 Ostapenko, V. V.
1 Petravchuk, Anatolii P.
1 Pikhurko, Oleg
1 Popov, Yurij D.
1 Pszczola, Krzysztof J.
1 Pypka, Alexsandr A.
1 Repovš, Dušan D.
1 Rothschild, Bruce L.
1 Semko, Nikolaj N.
1 Sharyn, Sergii
1 Sipacheva, Ol’ga V.
1 Slobodyanyuk, S.
1 Stukotilov, V. S.
1 Subbotin, Igor Yakov
1 Tkachenko, Mikhail Gelievich
1 Tkachuk, Vladimir Vladimirovich
1 Tsvietkova, Anastasiia
1 Tylyshchak, O. A.
1 Vasil’eva, V. A.
1 Vasil’jeva, Vira A.
1 Vasyl’jeva, V. O.
1 Wilson, Richard Gordon
1 Yurchuk, T. L.
1 Zagorodnyuk, Andriy V.
1 Zelenyuk, Yuliya
1 Zhuchok, Anatolii V.
all top 5

Serials

35 Matematychni Studiï
23 Ukrainian Mathematical Journal
23 Topology and its Applications
23 Algebra and Discrete Mathematics
16 Ukraïns’kyĭ Matematychnyĭ Zhurnal
13 Mathematical Notes
11 Journal of Mathematical Sciences (New York)
8 Applied General Topology
7 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
7 Commentationes Mathematicae Universitatis Carolinae
6 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A
6 Applied General Topology
5 Siberian Mathematical Journal
5 Mathematical Studies Monograph Series
4 Topology Proceedings
4 Journal of Group Theory
4 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
3 Soviet Mathematics. Doklady
3 Questions and Answers in General Topology
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
2 European Journal of Mathematics
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 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 Universității 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

Publications by Year

Citations contained in zbMATH Open

163 Publications have been cited 856 times in 305 Documents Cited by Year
Ball structures and colorings of graphs and groups. Zbl 1147.05033
Protasov, I.; Banakh, T.
66
2003
Topologies on groups determined by sequences. Zbl 0977.54029
Protasov, I.; Zelenyuk, E.
43
1999
General asymptology. Zbl 1172.54002
Protasov, Ihor; Zarichnyi, Michael
43
2007
Coronas of balleans. Zbl 1068.54036
Protasov, I. V.
23
2005
Normal ball structures. Zbl 1053.54503
Protasov, I. V.
23
2003
Topologies on Abelian groups. Zbl 0728.22003
Zelenyuk, E. G.; Protasov, I. V.
22
1991
Sparse, thin and other subsets of groups. Zbl 1186.20024
Lutsenko, Ie.; Protasov, I. V.
19
2009
Balleans and \(G\)-spaces. Zbl 1283.54007
Petrenko, O. V.; Protasov, I. V.
15
2012
Sketch of group balleans. Zbl 1061.22002
Protasov, I. V.; Protasova, O. I.
14
2004
Potentially compact Abelian groups. Zbl 0704.22003
Zelenyuk, E. G.; Protasov, I. V.
14
1990
Balleans of bounded geometry and \(G\)-spaces. Zbl 1164.37302
Protasov, Igor V.
13
2008
Maximal resolvability of bounded groups. Zbl 0866.54032
Malykhin, V. I.; Protasov, I. V.
13
1996
Selective survey on subset combinatorics of groups. Zbl 1283.20029
Protasov, Igor V.
12
2011
Thin subsets of balleans. Zbl 1207.54010
Lutsenko, Ievgen; Protasov, Igor
11
2010
Filters and topologies on semigroups. Zbl 0927.22009
Protasov, I. V.
11
1994
Discrete subsets of topological groups. Zbl 0836.22003
Protasov, I. V.
11
1994
Asymptotic proximities. Zbl 1179.54041
Protasov, I. V.
10
2008
Functionally balanced groups. Zbl 0737.22001
Protasov, I. V.
10
1991
Functional boundedness of balleans: coarse versions of compactness. Zbl 1432.54025
Banakh, Taras; Protasov, Igor
10
2019
Balleans, hyperballeans and ideals. Zbl 1429.54035
Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò
10
2019
Boolean group ideals and the ideal structure of \(\beta G\). Zbl 1199.22007
Filali, M.; Lutsenko, Ie.; Protasov, I. V.
9
2009
Counting maximal topologies on countable groups and rings. Zbl 1171.54029
Dikranjan, D.; Protasov, Igor
9
2008
Algebraically determined topologies on permutation groups. Zbl 1277.20006
Banakh, Taras; Guran, Igor; Protasov, Igor
9
2012
Ultrafilters and topologies on groups. Zbl 1316.54002
Filali, Mahmoud; Protasov, Igor V.
9
2010
Complemented topologies on abelian groups. Zbl 0997.22002
Zelenyuk, E. G.; Protasov, I. V.
9
2001
Combinatorics of numbers. Transl. from the Russian manuscript by M. Zarichnyi and T. Banakh. Zbl 1102.05301
Protasov, I.
8
1997
Relatively thin and sparse subsets of groups. Zbl 1258.20027
Lutsenko, Ie.; Protasov, I. V.
8
2011
On uniformly discrete subsets in uniform spaces and topological groups. Zbl 1361.54019
Banakh, T.; Gabriyelyan, S.; Protasov, I.
8
2016
Continuity of multiplication in the largest compactification of a locally compact group. Zbl 1024.22002
Protasov, I. V.; Pym, J. S.
8
2001
On hyperballeans of bounded geometry. Zbl 1409.54010
Protasov, Igor; Protasova, Ksenia
8
2018
The semigroup of closed subsets of a topological group. Zbl 0686.22001
Protasov, I. V.; Saryev, A.
7
1988
Cellularity and density of balleans. Zbl 1152.54312
Protasov, I. V.
7
2007
Slowly oscillating functions on locally compact groups. Zbl 1181.22011
Filali, M.; Protasov, I.
7
2005
On the subset combinatorics of \(G\)-spaces. Zbl 1334.54055
Protasov, Igor; Slobodianiuk, Sergii
7
2014
Scattered subsets of groups. Zbl 1359.20027
Banakh, T. O.; Protasov, I. V.; Slobodianiuk, S. V.
7
2015
Hyperballeans of groups. Zbl 1425.54011
Dikranjan, D.; Protasov, I.; Zava, N.
7
2019
Connectedness in the space of subgroups. Zbl 0517.22004
Protasov, I. V.; Tsybenko, Yu. V.
6
1983
Irresolvable topologies on groups. Zbl 0934.22007
Protasov, I. V.
6
1998
Maximal topologies on groups. Zbl 0935.22002
Protasov, I. V.
6
1998
On the lattice of subgroups of a pro-finite group. Zbl 0389.22003
Protasov, I. V.
6
1978
Dualisms of topological abelian groups. Zbl 0428.22001
Protasov, I. V.
6
1979
On projections of topological groups. Zbl 0434.22002
Protasov, I. V.; Charin, V. S.
6
1978
Balleans of topological groups. Zbl 1291.22002
Hernández, Salvador; Protasov, Igor V.
6
2011
Balleans and filters. Zbl 1301.05350
Petrenko, O. V.; Protasov, I. V.
6
2012
Ultracompanions of subsets of a group. Zbl 1324.54044
Protasov, I.; Slobodianiuk, S.
6
2014
Topologizations of a set endowed with an action of a monoid. Zbl 1294.54020
Banakh, Taras; Protasov, Igor; Sipacheva, Olga
6
2014
Every infinite group can be generated by P-small subset. Zbl 1112.20028
Dikranjan, Dikran; Protasov, Igor
5
2006
Compactness in the lattice of subgroups of a topological group. Zbl 0477.22002
Komarov, Yu. A.; Protasov, I. V.
5
1981
Strongly summable ultrafilters on abelian groups. Zbl 0934.22005
Hindman, Neil; Protasov, Igor; Strauss, Dona
5
1998
Resolvability of \(\tau\)-bounded groups. Zbl 0927.22001
Protasov, I. V.
5
1995
Coronas of ultrametric spaces. Zbl 1240.54087
Protasov, I. V.
5
2011
Balleans of bounded geometry and G-spaces. Zbl 1164.37301
Protasov, I. V.
5
2008
Ultrafilters and topologies on groups. Zbl 0828.22002
Protasov, I. V.
5
1993
Thin ultrafilters. Zbl 1258.03057
Petrenko, O.; Protasov, I. V.
5
2012
Classifying homogeneous cellular ordinal balleans up to coarse equivalence. Zbl 1394.54015
Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S.
5
2017
On asymorphisms of groups. Zbl 1375.20048
Protasov, Igor; Slobodianiuk, Serhii
5
2017
Morphisms of ball’s structures of groups and graphs. Zbl 1003.05053
Protasov, I. V.
5
2002
Selectors of discrete coarse spaces. Zbl 1524.54052
Protasov, Igor
5
2022
Decompositions of set-valued mappings. Zbl 1477.54017
Protasov, I.
5
2020
The combinatorial derivation. Zbl 1293.20002
Protasov, Igor V.
5
2013
On closed ideals of \(\beta G\). Zbl 1127.22002
Protasov, I. V.; Protasova, O. I.
4
2007
Topologies on \(S\) determined by idempotents in \(\beta S\). Zbl 0970.54036
Hindman, Neil; Protasov, Igor; Strauss, Dona
4
1998
On topologies in the lattice of subgroups. Zbl 0468.22003
Protasov, I. V.
4
1981
Spread of balleans. Zbl 1180.54008
Filali, M.; Protasov, I. V.
4
2008
A selection of open problems. Zbl 1217.05223
4
2009
Metrizable ball structures. Zbl 1038.54001
Protasov, I. V.
4
2002
Uniform ball structures. Zbl 1038.54002
Protasov, I. V.
4
2003
Topological groups with \(\sigma\)-compact space of subgroups. Zbl 0574.22003
Protasov, I. V.
4
1985
Binary coronas of balleans. Zbl 1066.54003
Protasov, I. V.
4
2003
Points of joint continuity for the semigroup of ultrafilters on an Abelian group. Zbl 0870.22001
Protasov, I. V.
4
1996
Topological Abelian groups with a locally compact lattice of closed subgroups. Zbl 0434.22003
Protasov, I. V.; Saryev, A.
4
1980
Local theorems for topological groups. Zbl 0453.22001
Protasov, I. V.
4
1980
Topological properties of the lattice of subgroups. Zbl 0456.22002
Protasov, I. V.
4
1980
Maximal vector topologies. Zbl 1251.54004
Protasov, I. V.
4
2012
Thin subsets of groups. Zbl 1343.20036
Protasov, I. V.; Slobodyanyuk, S.
4
2014
Coarse spaces, ultrafilters and dynamical systems. Zbl 1450.54011
Protasov, Igor
4
2021
Counting \(\Omega \)-ideals. Zbl 1202.08003
Protasov, Igor V.
4
2009
Varieties of coarse spaces. Zbl 1432.54031
Protasov, Igor
4
2018
Dynamical equivalences on \(G^*\). Zbl 1146.22005
Protasov, I. V.
3
2008
Decomposition of cellular balleans. Zbl 1193.54015
Protasov, I. V.; Tsvietkova, Anastasiia
3
2010
Decompositions of direct products of groups. Zbl 0933.22001
Protasov, I. V.
3
1997
The topological center of the semigroup of free ultrafilters. Zbl 0915.22002
Protasov, I. V.
3
1998
Sketch of vector balleans. Zbl 1199.46009
Lutsenko, Ie.; Protasov, I. V.
3
2009
Small subsets of groups. Zbl 1189.20033
Protasov, I. V.
3
2009
The Chabauty topology on the lattice of closed subgroups. Zbl 0574.22002
Protasov, I. V.; Tsybenko, Yu. V.
3
1984
Resolvability of ball structures. Zbl 1062.54006
Protasov, I. V.
3
2004
Asymmetrically decomposable Abelian groups. Zbl 0872.20048
Protasov, I. V.
3
1996
Groups with uniquely generated invariant subgroups. Zbl 0419.22004
Protasov, I. V.; Charin, V. S.
3
1977
Topological groups with compact lattice of closed subgroups. Zbl 0431.22002
Protasov, I. V.
3
1979
The dynamical look at the subsets of a group. Zbl 1329.54038
Protasov, Igor V.; Slobodianiuk, Sergii
3
2015
Densities, submeasures and partitions of groups. Zbl 1405.05192
Banakh, Taras; Protasov, Igor; Slobodianiuk, Sergiy
3
2014
Constructing balleans. Zbl 1432.54024
Banakh, Taras O.; Protasov, Igor
3
2019
Thin subsets of topological groups. Zbl 1282.22001
Protasov, I. V.
3
2013
On a question of Dikranjan and Zava. Zbl 1440.22004
Protasov, Igor
3
2020
Closeness and linkness in balleans. Zbl 1437.54026
Protasov, I.; Protasova, K.
3
2020
Ultrafilters on metric spaces. Zbl 1293.54010
Protasov, I. V.
3
2014
Resolvability of groups. Zbl 0936.22002
Protasov, I. V.
2
1998
Absolutely decomposable groups. Zbl 0937.22001
Protasov, I. V.
2
1996
Weak \(P\)-points in coronas of \(G\)-spaces. Zbl 1243.54044
Protasov, I. V.
2
2012
Extraresolvability of balleans. Zbl 1199.54033
Protasov, I. V.
2
2007
Coarse selectors of groups. Zbl 07796861
Protasov, I.
1
2023
Selectors of discrete coarse spaces. Zbl 1524.54052
Protasov, Igor
5
2022
Coarse spaces, ultrafilters and dynamical systems. Zbl 1450.54011
Protasov, Igor
4
2021
Selectors and orderings of coarse spaces. Zbl 1471.54009
Protasov, Igor
2
2021
The normality of macrocubes and hyperballeans. Zbl 1475.54013
Protasov, Igor; Protasova, Ksenia
1
2021
The dynamical approach to the conjugacy in groups. Zbl 1498.20075
Protasov, Igor; Protasova, Ksenia
1
2021
Decompositions of set-valued mappings. Zbl 1477.54017
Protasov, I.
5
2020
On a question of Dikranjan and Zava. Zbl 1440.22004
Protasov, Igor
3
2020
Closeness and linkness in balleans. Zbl 1437.54026
Protasov, I.; Protasova, K.
3
2020
Constructing a coarse space with a given Higson or binary corona. Zbl 1459.54016
Banakh, Taras; Protasov, Igor
2
2020
Minmax bornologies. Zbl 1485.54017
Banakh, Taras; Protasov, Igor
1
2020
Weakening topologies on a countable Abelian group of finite exponent. Zbl 1461.22002
Protasov, Igor
1
2020
Functional boundedness of balleans: coarse versions of compactness. Zbl 1432.54025
Banakh, Taras; Protasov, Igor
10
2019
Balleans, hyperballeans and ideals. Zbl 1429.54035
Dikranjan, Dikran; Protasov, Igor; Protasova, Ksenia; Zava, Nicolò
10
2019
Hyperballeans of groups. Zbl 1425.54011
Dikranjan, D.; Protasov, I.; Zava, N.
7
2019
Constructing balleans. Zbl 1432.54024
Banakh, Taras O.; Protasov, Igor
3
2019
Extremal balleans. Zbl 1421.54022
Protasov, Igor
2
2019
Sequential coarse structures of topological groups. Zbl 1421.22002
Protasov, I. V.
1
2019
On hyperballeans of bounded geometry. Zbl 1409.54010
Protasov, Igor; Protasova, Ksenia
8
2018
Varieties of coarse spaces. Zbl 1432.54031
Protasov, Igor
4
2018
Ideals in \(\mathcal{P}_G\) and \(\beta G\). Zbl 1416.22003
Protasov, Igor; Protasova, Ksenia
1
2018
A note on bornologies. Zbl 1422.57060
Protasov, I. V.
1
2018
Classifying homogeneous cellular ordinal balleans up to coarse equivalence. Zbl 1394.54015
Banakh, T.; Protasov, I.; Repovš, D.; Slobodianiuk, S.
5
2017
On asymorphisms of groups. Zbl 1375.20048
Protasov, Igor; Slobodianiuk, Serhii
5
2017
Lattices of coarse structures. Zbl 1516.54009
Protasov, I. V.; Protasova, K. D.
2
2017
On recurrence in \(G\)-spaces. Zbl 1378.37028
Protasov, Igor; Protasova, Ksenia
1
2017
Selective and Ramsey ultrafilters on \(G\)-spaces. Zbl 1368.05150
Petrenko, Oleksandr; Protasov, Igor
1
2017
Ramsey-product subsets of a group. Zbl 1410.05215
Banakh, T.; Protasov, I.; Protasova, K.
1
2017
On uniformly discrete subsets in uniform spaces and topological groups. Zbl 1361.54019
Banakh, T.; Gabriyelyan, S.; Protasov, I.
8
2016
The comb-like representations of cellular ordinal balleans. Zbl 1358.54009
Protasov, Igor; Protasova, Ksenia
1
2016
Box resolvability. Zbl 1343.22001
Protasov, Igor
1
2016
Scattered subsets of groups. Zbl 1359.20027
Banakh, T. O.; Protasov, I. V.; Slobodianiuk, S. V.
7
2015
The dynamical look at the subsets of a group. Zbl 1329.54038
Protasov, Igor V.; Slobodianiuk, Sergii
3
2015
A note on partitions of groups. Zbl 1337.22003
Protasov, Igor; Slobodianiuk, Sergii
2
2015
Relative size of subsets of a semigroup. Zbl 1363.20052
Protasov, Igor; Slobodianiuk, Serhii
1
2015
On the subset combinatorics of \(G\)-spaces. Zbl 1334.54055
Protasov, Igor; Slobodianiuk, Sergii
7
2014
Ultracompanions of subsets of a group. Zbl 1324.54044
Protasov, I.; Slobodianiuk, S.
6
2014
Topologizations of a set endowed with an action of a monoid. Zbl 1294.54020
Banakh, Taras; Protasov, Igor; Sipacheva, Olga
6
2014
Thin subsets of groups. Zbl 1343.20036
Protasov, I. V.; Slobodyanyuk, S.
4
2014
Densities, submeasures and partitions of groups. Zbl 1405.05192
Banakh, Taras; Protasov, Igor; Slobodianiuk, Sergiy
3
2014
Ultrafilters on metric spaces. Zbl 1293.54010
Protasov, I. V.
3
2014
Asymptotic structures of cardinals. Zbl 1304.54009
Petrenko, Oleksandr; Protasov, Igor; Slobodianiuk, Sergii
2
2014
Sparse and thin metric spaces. Zbl 1323.54029
Protasov, I. V.
2
2014
Around \(P\)-small subsets of groups. Zbl 1321.20040
Protasov, I. V.; Protasova, K. D.
2
2014
Partitions of groups. Zbl 1329.20055
Protasov, I.; Slobodianiuk, S.
1
2014
The combinatorial derivation. Zbl 1293.20002
Protasov, Igor V.
5
2013
Thin subsets of topological groups. Zbl 1282.22001
Protasov, I. V.
3
2013
The combinatorial derivation and its inverse mapping. Zbl 1300.20001
Protasov, Igor V.
2
2013
Balleans and \(G\)-spaces. Zbl 1283.54007
Petrenko, O. V.; Protasov, I. V.
15
2012
Algebraically determined topologies on permutation groups. Zbl 1277.20006
Banakh, Taras; Guran, Igor; Protasov, Igor
9
2012
Balleans and filters. Zbl 1301.05350
Petrenko, O. V.; Protasov, I. V.
6
2012
Thin ultrafilters. Zbl 1258.03057
Petrenko, O.; Protasov, I. V.
5
2012
Maximal vector topologies. Zbl 1251.54004
Protasov, I. V.
4
2012
Weak \(P\)-points in coronas of \(G\)-spaces. Zbl 1243.54044
Protasov, I. V.
2
2012
Kaleidoscopical configurations in \(G\)-spaces. Zbl 1243.05060
Banakh, Taras; Petrenko, Oleksandr; Protasov, Igor; Slobodianiuk, Sergiy
2
2012
Partitions of groups into sparse subsets. Zbl 1258.20036
Protasov, Igor
2
2012
Selective survey on subset combinatorics of groups. Zbl 1283.20029
Protasov, Igor V.
12
2011
Relatively thin and sparse subsets of groups. Zbl 1258.20027
Lutsenko, Ie.; Protasov, I. V.
8
2011
Balleans of topological groups. Zbl 1291.22002
Hernández, Salvador; Protasov, Igor V.
6
2011
Coronas of ultrametric spaces. Zbl 1240.54087
Protasov, I. V.
5
2011
Kaleidoscopical configurations in groups. Zbl 1301.05133
Protasov, I. V.; Slobodianiuk, S.
2
2011
Partitions of groups into thin subsets. Zbl 1257.20046
Protasov, Igor
1
2011
Thin subsets of balleans. Zbl 1207.54010
Lutsenko, Ievgen; Protasov, Igor
11
2010
Ultrafilters and topologies on groups. Zbl 1316.54002
Filali, Mahmoud; Protasov, Igor V.
9
2010
Decomposition of cellular balleans. Zbl 1193.54015
Protasov, I. V.; Tsvietkova, Anastasiia
3
2010
Partitions of groups and matroids into independent subsets. Zbl 1224.05084
Banakh, Taras; Protasov, Igor
1
2010
Sparse, thin and other subsets of groups. Zbl 1186.20024
Lutsenko, Ie.; Protasov, I. V.
19
2009
Boolean group ideals and the ideal structure of \(\beta G\). Zbl 1199.22007
Filali, M.; Lutsenko, Ie.; Protasov, I. V.
9
2009
A selection of open problems. Zbl 1217.05223
4
2009
Counting \(\Omega \)-ideals. Zbl 1202.08003
Protasov, Igor V.
4
2009
Sketch of vector balleans. Zbl 1199.46009
Lutsenko, Ie.; Protasov, I. V.
3
2009
Small subsets of groups. Zbl 1189.20033
Protasov, I. V.
3
2009
Balleans of bounded geometry and \(G\)-spaces. Zbl 1164.37302
Protasov, Igor V.
13
2008
Asymptotic proximities. Zbl 1179.54041
Protasov, I. V.
10
2008
Counting maximal topologies on countable groups and rings. Zbl 1171.54029
Dikranjan, D.; Protasov, Igor
9
2008
Balleans of bounded geometry and G-spaces. Zbl 1164.37301
Protasov, I. V.
5
2008
Spread of balleans. Zbl 1180.54008
Filali, M.; Protasov, I. V.
4
2008
Dynamical equivalences on \(G^*\). Zbl 1146.22005
Protasov, I. V.
3
2008
Cellularity of a space of subgroups of a discrete group. Zbl 1212.54100
Leiderman, A.; Protasov, I. V.
1
2008
Kaleidoscopical graphs and Hamming codes. Zbl 1330.05073
Protasov, Igor; Protasova, Ksenia
1
2008
General asymptology. Zbl 1172.54002
Protasov, Ihor; Zarichnyi, Michael
43
2007
Cellularity and density of balleans. Zbl 1152.54312
Protasov, I. V.
7
2007
On closed ideals of \(\beta G\). Zbl 1127.22002
Protasov, I. V.; Protasova, O. I.
4
2007
Extraresolvability of balleans. Zbl 1199.54033
Protasov, I. V.
2
2007
Asymptotic oscillations. Zbl 1180.54043
Filali, M.; Protasov, I.
1
2007
Automorphisms of kaleidoscopical graphs. Zbl 1164.05358
Protasov, I. V.; Protasova, K. D.
1
2007
Every infinite group can be generated by P-small subset. Zbl 1112.20028
Dikranjan, Dikran; Protasov, Igor
5
2006
Survey of Balleans. Zbl 1174.54365
Protasov, I. V.; Protasova, O. I.
1
2006
Coronas of balleans. Zbl 1068.54036
Protasov, I. V.
23
2005
Slowly oscillating functions on locally compact groups. Zbl 1181.22011
Filali, M.; Protasov, I.
7
2005
Color-detectors of hypergraphs. Zbl 1088.05034
Protasov, I. V.; Protasova, O. I.
1
2005
Sketch of group balleans. Zbl 1061.22002
Protasov, I. V.; Protasova, O. I.
14
2004
Resolvability of ball structures. Zbl 1062.54006
Protasov, I. V.
3
2004
Small systems of generators of groups. Zbl 1078.20032
Protasov, I. V.
1
2004
Ball structures and colorings of graphs and groups. Zbl 1147.05033
Protasov, I.; Banakh, T.
66
2003
Normal ball structures. Zbl 1053.54503
Protasov, I. V.
23
2003
Uniform ball structures. Zbl 1038.54002
Protasov, I. V.
4
2003
Binary coronas of balleans. Zbl 1066.54003
Protasov, I. V.
4
2003
Some open problems in topological algebra. Zbl 1037.54001
Banakh, Taras; Čhoban, Mitrofan; Guran, Igor; Protasov, Igor
2
2003
Partitions of groups into large subsets. Zbl 1080.20028
Protasov, I. V.
2
2003
...and 63 more Documents
all top 5

Cited by 195 Authors

85 Protasov, Igor Volodymyrovych
28 Banakh, Taras Onufrievich
25 Zelenyuk, Yevhen G.
24 Dikranjan, Dikran N.
24 Gabriyelyan, Saak S.
13 Zava, Nicolò
10 Protasova, Ksenia D.
7 Tkachenko, Mikhail Gelievich
6 Comfort, William Wistar
6 Hamrouni, Hatem
5 Außenhofer, Lydia
5 Lin, Fucai
5 Slobodianiuk, Sergii
5 Zelenyuk, Yuliya
4 Filali, Mahmoud
4 García-Ferreira, Salvador
4 Kadri, Bilel
4 Keyantuo, Valentin
4 Martin Peinador, Elena
4 Shibakov, Alexander Y.
4 Toller, Daniele
3 Bouziad, Ahmed
3 Giordano Bruno, Anna
3 Kąkol, Jerzy
3 Kalantari, Shahab
3 Malykhin, Vyacheslav Ivanovich
3 Marcos, José E.
3 Neufang, Matthias
3 Peng, Dekui
3 Pestov, Vladimir G.
3 Ravsky, Alex
3 Sipacheva, Ol’ga V.
3 Strauss, Dona
3 Troallic, Jean-Pierre
3 Tsybenko, Yu. V.
2 Alaste, Tomi
2 Bardyla, Serhii
2 Bartoszewicz, Artur
2 Chasco, María Jesús
2 Chervak, Ostap
2 de Cornulier, Yves
2 De La Barrera Mayoral, Daniel
2 Fernández Bretón, David José
2 Filipczak, Małgorzata
2 Guran, Igor I.
2 He, Wei
2 Hernández, Salvador
2 Hindman, Neil
2 Jlali, Zouhour
2 Künzi, Hans-Peter A.
2 Leiderman, Arkady G.
2 Lin, Shou
2 Liu, Chuan
2 Lukács, Gábor
2 Lutsenko, Ie.
2 Megrelishvili, Michael G.
2 Milan, Chiara
2 Morris, Sidney A.
2 Mukhin, Yurii N.
2 Panasyuk, S. P.
2 Piskunov, A. G.
2 Salmi, Pekka
2 Slobodianiuk, S. V.
2 Slobodianiuk, Serhii
2 Tang, Zhongbao
2 Tarieladze, Vasha I.
2 Toko, Wilson B.
2 Yamauchi, Takamitsu
2 Yaschenko, Ivan V.
1 Ackelsberg, Ethan M.
1 Ahmadi Zand, Mohammad Reza
1 Alaya, Nejeh
1 Arruda, Paulo Henrique
1 Baglini, Lorenzo Luperi
1 Banakh, Iryna
1 Barbieri, Giuseppina Gerarda
1 Behrouzi, Farid
1 Bella, Angelo
1 Bergelson, Vitaly
1 Bergman, George M.
1 Bilet, Viktoriia Viktorivna
1 Blass, Andreas Raphael
1 Błaszczyk, Aleksander
1 Bonatto, Marco
1 Botha, Garith
1 Brodsky, N. B.
1 Bruguera, Montserrat
1 Brzeska, Anna
1 Cai, Zhangyong Cai
1 Carlson, Timothy J.
1 Carlucci, Lorenzo
1 Castellano, Ilaria
1 Charyev, A.
1 Chekeev, Asylbek A.
1 Chen, Xiaoyou
1 Christopherson, Cory
1 Chung, Yeong Chyuan
1 Corson, Samuel M.
1 Dahmen, Rafael
1 Dales, Harold Garth
...and 95 more Authors
all top 5

Cited in 68 Serials

106 Topology and its Applications
25 Ukrainian Mathematical Journal
13 Journal of Mathematical Sciences (New York)
10 Mathematical Notes
9 Proceedings of the American Mathematical Society
9 Applied General Topology
7 Journal of Group Theory
6 Journal of Mathematical Analysis and Applications
6 Journal of Pure and Applied Algebra
6 Semigroup Forum
6 Matematychni Studiï
6 Axioms
5 Siberian Mathematical Journal
5 Algebra and Discrete Mathematics
5 Topological Algebra and its Applications
5 European Journal of Mathematics
4 Bulletin of the Australian Mathematical Society
4 International Journal of Algebra and Computation
4 Topology Proceedings
3 Journal of Functional Analysis
2 Advances in Mathematics
2 Algebra Universalis
2 Bulletin of the London Mathematical Society
2 Fundamenta Mathematicae
2 Journal of Combinatorial Theory. Series A
2 Journal of Soviet Mathematics
2 Monatshefte für Mathematik
2 Forum Mathematicum
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Israel Journal of Mathematics
1 Rocky Mountain Journal of Mathematics
1 Algebra and Logic
1 Colloquium Mathematicum
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 The Journal of Symbolic Logic
1 Mathematica Slovaca
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Notre Dame Journal of Formal Logic
1 Proceedings of the London Mathematical Society. Third Series
1 Quaestiones Mathematicae
1 Ricerche di Matematica
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Combinatorica
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Algebraic Combinatorics
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 The Ramanujan Journal
1 Revista Matemática Complutense
1 Algebraic & Geometric Topology
1 Journal of the Australian Mathematical Society
1 Portugaliae Mathematica. Nova Série
1 Central European Journal of Mathematics
1 Frontiers of Mathematics in China
1 Journal of Noncommutative Geometry
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Annals of Functional Analysis
1 Afrika Matematika
1 Forum of Mathematics, Sigma
1 Carpathian Mathematical Publications
1 Graduate Journal of Mathematics

Citations by Year