Protasov, Igor On a question on Clark and Ledet. (English) Zbl 1535.22002 Quest. Answers Gen. Topology 41, No. 2, 135-136 (2023). Reviewer: Mihail I. Ursul (Oradea) MSC: 22A05 54H11 × Cite Format Result Cite Review PDF Full Text: arXiv
Protasov, Igor Weakening topologies on a countable Abelian group of finite exponent. (English. Ukrainian original) Zbl 1461.22002 J. Math. Sci., New York 248, No. 2, 188-189 (2020); translation from Ukr. Mat. Visn. 17, No. 1, 58-59 (2020). Reviewer: Mihail I. Ursul (Oradea) MSC: 22A05 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, Igor On a question of Dikranjan and Zava. (English) Zbl 1440.22004 Topology Appl. 273, Article ID 107105, 3 p. (2020). MSC: 22A15 54E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Protasov, I. V. Sequential coarse structures of topological groups. (English) Zbl 1421.22002 Mat. Stud. 51, No. 1, 12-18 (2019). MSC: 22A15 54E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Protasov, Igor V. Selective survey on spaces of closed subgroups of topological groups. (English) Zbl 1432.22003 Axioms 7, No. 4, Paper No. 75, 12 p. (2018). MSC: 22A05 22B05 54H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Protasov, Igor; Slobodianiuk, Serhii A note on factoring groups into dense subsets. (English) Zbl 1369.22003 J. Group Theory 20, No. 1, 33-38 (2017). MSC: 22A05 03E05 03E75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banakh, T.; Gabriyelyan, S.; Protasov, I. On uniformly discrete subsets in uniform spaces and topological groups. (English) Zbl 1361.54019 Mat. Stud. 45, No. 1, 76-97 (2016). Reviewer: Harald Brandenburg (Berlin) MSC: 54E15 54H11 22A05 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, Igor Box resolvability. (English) Zbl 1343.22001 Topology Appl. 209, 329-334 (2016). MSC: 22A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Protasov, Igor Generating countable groups by discrete subsets. (English) Zbl 1336.22003 Topology Appl. 204, 253-255 (2016). MSC: 22A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Protasov, Igor; Slobodianiuk, Sergii A note on partitions of groups. (English) Zbl 1337.22003 Quest. Answers Gen. Topology 33, No. 2, 61-70 (2015). Reviewer: Kateryna Pavlyk (Tartu) MSC: 22A15 54D35 03E05 × Cite Format Result Cite Review PDF Full Text: arXiv
Protasov, I. V. Thin subsets of topological groups. (English) Zbl 1282.22001 Topology Appl. 160, No. 10, 1083-1087 (2013). Reviewer: Sobhakar Ganguly (Kolkata) MSC: 22A05 × Cite Format Result Cite Review PDF Full Text: DOI
Hernández, Salvador; Protasov, Igor V. Balleans of topological groups. (English. Ukrainian original) Zbl 1291.22002 J. Math. Sci., New York 178, No. 1, 65-74 (2011); translation from Ukr. Mat. Visn. 8, No. 1, 87-100 (2011). MSC: 22A10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Filali, Mahmoud; Protasov, Igor V. Ultrafilters and topologies on groups. (English) Zbl 1316.54002 Mathematical Studies Monograph Series 13. L’viv: VNTL Publishers (ISBN 966-7148-14-0/hbk). 258 p. (2010). MSC: 54-02 54H11 54A20 × Cite Format Result Cite Review PDF
Protasov, I. V. Algebra in the Stone-Čech compactification: applications to topologies on groups. (English) Zbl 1199.22002 Algebra Discrete Math. 2009, No. 1, 83-110 (2009). MSC: 22A05 22A15 22A20 05A18 54A35 54D80 × Cite Format Result Cite Review PDF
Protasov, I. V. Dynamical equivalences on \(G^*\). (English) Zbl 1146.22005 Topology Appl. 155, No. 13, 1394-1402 (2008). Reviewer: Sophia U. Raczkowski (Bakersfield) MSC: 22A15 54D35 54D40 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V. Cellularity and density of balleans. (English) Zbl 1152.54312 Appl. Gen. Topol. 8, No. 2, 283-291 (2007). MSC: 54A25 54E25 05A18 54E15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Filali, M.; Protasov, I. Slowly oscillating functions on locally compact groups. (English) Zbl 1181.22011 Appl. Gen. Topol. 6, No. 1, 67-77 (2005). MSC: 22D05 22A10 22B05 54E15 × Cite Format Result Cite Review PDF
Protasov, I. V.; Protasova, O. I. Sketch of group balleans. (English) Zbl 1061.22002 Mat. Stud. 22, No. 1, 10-20 (2004). MSC: 22A05 54E15 54D35 × Cite Format Result Cite Review PDF
Banakh, Taras; Čhoban, Mitrofan; Guran, Igor; Protasov, Igor Some open problems in topological algebra. (English) Zbl 1037.54001 Visn. L’viv. Univ., Ser. Mekh.-Mat. 61, 13-20 (2003). MSC: 54-02 54H11 × Cite Format Result Cite Review PDF Full Text: arXiv
Protasov, I. V. Remarks on extremally disconnected semitopological groups. (English) Zbl 1090.54033 Commentat. Math. Univ. Carol. 43, No. 2, 343-347 (2002). Reviewer: Petr Holický (Praha) MSC: 54H11 54C05 54G15 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Protasov, I. V. On the Suslin number of totally bounded left topological group. (Russian. English summary) Zbl 1023.22002 Ukr. Mat. Zh. 54, No. 11, 1581-1584 (2002). Reviewer: A.S.Oliynyk (Kyïv) MSC: 22A05 × Cite Format Result Cite Review PDF
Protasov, Igor V.; Protasova, Ksenya D. On a problem by A. A. George. (English. English summary) Zbl 0971.22002 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2001, No. 1, 57-58 (2001). MSC: 22A05 20H20 × Cite Format Result Cite Review PDF
Protasov, I. V. Irresolvable left topological groups. (English. Russian original) Zbl 0972.22003 Ukr. Math. J. 52, No. 6, 868-875 (2000); translation from Ukr. Mat. Zh. 52, No. 6, 758-765 (2000). MSC: 22A05 54H11 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I.; Zelenyuk, E. Topologies on groups determined by sequences. (English) Zbl 0977.54029 Mathematical Studies Monograph Series. 4. Lviv: VNTL Publishers. 111 p. (1999). Reviewer: Mihail I.Ursul (Oradea) MSC: 54H11 22A10 22-02 54-02 × Cite Format Result Cite Review PDF
Protasov, I. V. Maximal topologies on groups. (English. Russian original) Zbl 0935.22002 Sib. Math. J. 39, No. 6, 1184-1194 (1998); translation from Sib. Mat. Zh. 39, No. 6, 1368-1381 (1998). Reviewer: K.N.Ponomarev (Novosibirsk) MSC: 22A05 54H11 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V. Finite groups in \(\beta G\). (English) Zbl 0945.22001 Mat. Stud. 10, No. 1, 17-22 (1998). Reviewer: S.Ganguly (Calcutta) MSC: 22A05 54A05 54D80 × Cite Format Result Cite Review PDF
Alas, O. T.; Protasov, I. V.; Tkačenko, M. G.; Tkachuk, V. V.; Wilson, R. G.; Yaschenko, I. V. Almost all submaximal groups are paracompact and \(\sigma\)-discrete. (English) Zbl 0904.54027 Fundam. Math. 156, No. 3, 241-260 (1998). Reviewer: W.W.Comfort (Middletown) MSC: 54H11 22A05 54A25 × Cite Format Result Cite Review PDF Full Text: EuDML
Malykhin, V. I.; Protasov, I. V. Maximal resolvability of bounded groups. (English) Zbl 0866.54032 Topology Appl. 73, No. 3, 227-232 (1996). Reviewer: W.W.Comfort (Middletown) MSC: 54H11 20K45 54A35 54A25 22A30 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V. Decomposability of permutation groups. (Russian) Zbl 0927.54038 Mat. Stud. 6, 131-134 (1996). MSC: 54H11 20B07 × Cite Format Result Cite Review PDF
Protasov, I. V. Ideals of the semigroup of ultrafilters of a topological group. (English. Russian original) Zbl 0885.22002 Ukr. Math. J. 47, No. 4, 588-593 (1995); translation from Ukr. Mat. Zh. 47, No. 4, 506-511 (1995). MSC: 22A10 22A99 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V. Discrete subsets of topological groups. (English. Russian original) Zbl 0836.22003 Math. Notes 55, No. 1, 101-102 (1994); translation from Mat. Zametki 55, No. 1, 150-151 (1994). Reviewer: M.I.Ursul (Kishinev) MSC: 22A05 54H11 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V. Two theorems on imbeddings of 0-dimensional groups. (English. Russian original) Zbl 0944.22001 Ukr. Math. J. 46, No. 11, 1767-1770 (1994); translation from Ukr. Mat. Zh. 46, No. 11, 1594-1596 (1994). MSC: 22A05 16W80 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V. Ultrafilters and topologies on groups. (English. Russian original) Zbl 0828.22002 Sib. Math. J. 34, No. 5, 938-952 (1993); translation from Sib. Mat. Zh. 34, No. 5, 163-180 (1993). Reviewer: M.G.Tkachenko (Mexico) MSC: 22A05 54H11 × Cite Format Result Cite Review PDF Full Text: DOI
Zelenyuk, E. G.; Protasov, I. V. Topologies on Abelian groups. (English. Russian original) Zbl 0728.22003 Math. USSR, Izv. 37, No. 2, 445-460 (1991); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 5, 1090-1107 (1990). Reviewer: D.Dikranjan (Sofia) MSC: 22A05 11B05 11B39 20K45 × Cite Format Result Cite Review PDF Full Text: DOI
Zelenyuk, E. G.; Protasov, I. V. Potentially compact Abelian groups. (English. Russian original) Zbl 0715.22001 Math. USSR, Sb. 69, No. 1, 299-305 (1991); translation from Mat. Sb. 181, No. 2, 279-285 (1990). MSC: 22A05 54D30 54A20 20K45 × Cite Format Result Cite Review PDF Full Text: DOI
Zelenyuk, E. G.; Protasov, I. V. Potentially compact Abelian groups. (Russian) Zbl 0704.22003 Mat. Sb. 181, No. 2, 279-285 (1990). Reviewer: D.L.Grant MSC: 22A05 54D30 54A20 20K45 × Cite Format Result Cite Review PDF Full Text: EuDML
Protasov, I. V.; Charyev, A. Bourbaki spaces of topological groups. (Russian) Zbl 0704.22002 Ukr. Mat. Zh. 42, No. 4, 542-549 (1990). Reviewer: D.L.Grant MSC: 22A05 54D30 54D25 54E15 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V.; Stukotilov, V. S. Ochan topologies on the space of closed subgroups. (English. Russian original) Zbl 0738.22001 Ukr. Math. J. 41, No. 10, 1150-1154 (1989); translation from Ukr. Mat. Zh. 41, No. 10, 1337-1342 (1989). Reviewer: G.A.Soifer (Kemerovo) MSC: 22A05 54E55 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V. Suslin number of the space of subgroups of a locally compact group. (English. Russian original) Zbl 0698.22008 Ukr. Math. J. 40, No. 5, 559-562 (1988); translation from Ukr. Mat. Zh. 40, No. 5, 654-658 (1988). Reviewer: Lj.Kočinac MSC: 22D05 22C05 54D30 57N60 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V.; Saryev, A. The semigroup of closed subsets of a topological group. (Russian. English summary) Zbl 0686.22001 Izv. Akad. Nauk Turkm. SSR, Ser. Fiz.-Tekh. Khim. Geol. Nauk 1988, No. 3, 21-25 (1988). Reviewer: G.Soifer MSC: 22A05 22A15 × Cite Format Result Cite Review PDF
Protasov, I. V. Compact subspaces in the space of subgroups of a topological group. (English. Russian original) Zbl 0621.22007 Ukr. Math. J. 38, 512-516 (1986); translation from Ukr. Mat. Zh. 38, No. 5, 600-605 (1986). Reviewer: M.G.Tkachenko MSC: 22D05 54D30 54H12 54D50 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V.; Sidorchuk, A. D. A local theorem for topologically orderable groups. (Russian) Zbl 0484.22003 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 8, 83-86 (1981). MSC: 22A05 × Cite Format Result Cite Review PDF
Komarov, Yu. A.; Protasov, I. V. Compactness in the lattice of subgroups of a topological group. (English) Zbl 0477.22002 Ukr. Math. J. 33, 145-149 (1981). MSC: 22A05 22D05 × Cite Format Result Cite Review PDF Full Text: DOI
Komarov, Yu. A.; Protasov, I. V. Compactness in the lattice of subgroups of a topological group. (Russian) Zbl 0468.22002 Ukr. Mat. Zh. 33, 184-189 (1981). MSC: 22A05 22D05 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V. Convergence with respect to ranking in a lattice of subgroups of a topological group. (English) Zbl 0466.22002 Sov. Math. 24, No. 9, 27-32 (1980). MSC: 22A05 22D05 × Cite Format Result Cite Review PDF
Komarov, Ya. A.; Protasov, I. V. Compactness and discreteness in the lattice of invariant subgroups of a topological group. (Russian) Zbl 0459.22001 Constructive description of groups with given properties of subgroups, Collect. sci. Works, Kiev 1980, 133-140 (1980). MSC: 22A05 × Cite Format Result Cite Review PDF
Protasov, I. V. Projections of zero-dimensional nilpotent groups. (English) Zbl 0411.22004 Math. Notes 24, 883-885 (1979). MSC: 22A05 22D05 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V. Topologische Gruppen mit kompaktem Verband abgeschlossener Untergruppen. (Russian) Zbl 0401.22005 Sib. Mat. Zh. 20, 378-385 (1979). MSC: 22A05 × Cite Format Result Cite Review PDF
Protasov, I. V.; Charin, V. S. Groups with uniquely generated invariant subgroups. (English) Zbl 0419.22004 Ukr. Math. J. 29, 210-214 (1977). MSC: 22A05 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V.; Charin, V. S. Groups with uniquely generated invariant subgroups. (Über Gruppen mit eindeutig erzeugten invarianten Untergruppen.) (Russian) Zbl 0386.22002 Ukr. Mat. Zh. 29, 275-280 (1977). Reviewer: Yu. A. Bahturin MSC: 22A05 × Cite Format Result Cite Review PDF Full Text: DOI