Bellini, Matheus K.; Hart, Klaas Pieter; Rodrigues, Vinicius O.; Tomita, Artur H. Countably compact group topologies on arbitrarily large free abelian groups. (English) Zbl 1522.54049 Topology Appl. 333, Article ID 108538, 23 p. (2023). Reviewer: Tomasz Kania (Praha) MSC: 54H11 22A05 54A35 54G20 PDFBibTeX XMLCite \textit{M. K. Bellini} et al., Topology Appl. 333, Article ID 108538, 23 p. (2023; Zbl 1522.54049) Full Text: DOI arXiv
Monod, Nicolas Lie groups as permutation groups: Ulam’s problem in the nilpotent case. (English) Zbl 1510.22004 J. Group Theory 25, No. 5, 851-865 (2022). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22E25 22E27 20B07 PDFBibTeX XMLCite \textit{N. Monod}, J. Group Theory 25, No. 5, 851--865 (2022; Zbl 1510.22004) Full Text: DOI arXiv
Tomita, Artur Hideyuki; Trianon-Fraga, Juliane Some pseudocompact-like properties in certain topological groups. (English) Zbl 1496.54020 Topology Appl. 314, Article ID 108111, 18 p. (2022). Reviewer: Kohzo Yamada (Shizuoka) MSC: 54H11 54B99 22A05 54E99 PDFBibTeX XMLCite \textit{A. H. Tomita} and \textit{J. Trianon-Fraga}, Topology Appl. 314, Article ID 108111, 18 p. (2022; Zbl 1496.54020) Full Text: DOI arXiv
Conant, Gabriel; Pillay, Anand; Terry, Caroline Structure and regularity for subsets of groups with finite VC-dimension. (English) Zbl 07499437 J. Eur. Math. Soc. (JEMS) 24, No. 2, 583-621 (2022). MSC: 03C45 03C20 20D60 22C05 22E35 PDFBibTeX XMLCite \textit{G. Conant} et al., J. Eur. Math. Soc. (JEMS) 24, No. 2, 583--621 (2022; Zbl 07499437) Full Text: DOI
Lin, Fucai; Ravsky, Alex; Shi, Tingting Suitable sets for paratopological groups. (English) Zbl 1507.22009 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 183, 15 p. (2021). MSC: 22A15 54H99 54H11 PDFBibTeX XMLCite \textit{F. Lin} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 183, 15 p. (2021; Zbl 1507.22009) Full Text: DOI arXiv
He, Wei; Peng, Dekui; Tkachenko, Mikhail; Zhang, Heng \(\mathcal{M}\)-factorizability of products and \(\tau\)-fine topological groups. (English) Zbl 1505.54049 Topology Appl. 296, Article ID 107674, 22 p. (2021). Reviewer: Kohzo Yamada (Shizuoka) MSC: 54H11 54B10 54A25 22A05 54A35 PDFBibTeX XMLCite \textit{W. He} et al., Topology Appl. 296, Article ID 107674, 22 p. (2021; Zbl 1505.54049) Full Text: DOI
Hrušák, Michael; Shibakov, Alexander Convergent sequences in topological groups. (English) Zbl 1523.22004 Ann. Pure Appl. Logic 172, No. 5, Article ID 102910, 14 p. (2021). Reviewer: Saak S. Gabriyelyan (Beer-Sheva) MSC: 22A05 03C20 03E05 03E35 54H11 PDFBibTeX XMLCite \textit{M. Hrušák} and \textit{A. Shibakov}, Ann. Pure Appl. Logic 172, No. 5, Article ID 102910, 14 p. (2021; Zbl 1523.22004) Full Text: DOI
Hrušák, M.; van Mill, J.; Ramos-García, U. A.; Shelah, S. Countably compact groups without non-trivial convergent sequences. (English) Zbl 1482.22002 Trans. Am. Math. Soc. 374, No. 2, 1277-1296 (2021). Reviewer: Paul Bankston (Milwaukee) MSC: 22A05 03C20 03E05 54H11 PDFBibTeX XMLCite \textit{M. Hrušák} et al., Trans. Am. Math. Soc. 374, No. 2, 1277--1296 (2021; Zbl 1482.22002) Full Text: DOI arXiv
Scheepers, Marion Ramsey theory and the Borel conjecture. (English) Zbl 1498.03101 Scheepers, Marion (ed.) et al., Centenary of the Borel conjecture. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 755, 69-113 (2020). MSC: 03E05 03E02 05D10 22A05 54D20 54G10 54H11 PDFBibTeX XMLCite \textit{M. Scheepers}, Contemp. Math. 755, 69--113 (2020; Zbl 1498.03101) Full Text: DOI arXiv
Banakh, Taras; Ravsky, Alex On feebly compact paratopological groups. (English) Zbl 1468.22003 Topology Appl. 284, Article ID 107363, 36 p. (2020). MSC: 22A15 54D10 54H11 54H99 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{A. Ravsky}, Topology Appl. 284, Article ID 107363, 36 p. (2020; Zbl 1468.22003) Full Text: DOI arXiv
Banakh, Taras; Bardyla, Serhii; Guran, Igor; Gutik, Oleg; Ravsky, Alex Positive answers to Koch’s problem in special cases. (English) Zbl 1441.22003 Topol. Algebra Appl. 8, 76-87 (2020). MSC: 22A15 54D30 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topol. Algebra Appl. 8, 76--87 (2020; Zbl 1441.22003) Full Text: DOI arXiv
Xiao, Zhiqiang; Sánchez, Iván; Tkachenko, Mikhail Topological groups whose closed subgroups are separable, and the product operation. (English) Zbl 1414.22008 Topology Appl. 259, 365-377 (2019). MSC: 22A05 54A25 54H11 54A35 PDFBibTeX XMLCite \textit{Z. Xiao} et al., Topology Appl. 259, 365--377 (2019; Zbl 1414.22008) Full Text: DOI
Tomita, Artur Hideyuki A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences. (English) Zbl 1418.54018 Topology Appl. 259, 347-364 (2019). Reviewer: Vladimir Tkachuk (México D. F.) MSC: 54H11 22A05 54A35 54G20 PDFBibTeX XMLCite \textit{A. H. Tomita}, Topology Appl. 259, 347--364 (2019; Zbl 1418.54018) Full Text: DOI arXiv
Pavlov, O. I. Normality in free topological groups. (English. Russian original) Zbl 1401.22001 Math. Notes 104, No. 2, 271-277 (2018); translation from Mat. Zametki 104, No. 2, 265-272 (2018). Reviewer: Mihail I. Ursul (Oradea) MSC: 22A05 PDFBibTeX XMLCite \textit{O. I. Pavlov}, Math. Notes 104, No. 2, 271--277 (2018; Zbl 1401.22001); translation from Mat. Zametki 104, No. 2, 265--272 (2018) Full Text: DOI
Peng, Yinhe; Wu, Liuzhen A Lindelöf group with non-Lindelöf square. (English) Zbl 1382.22004 Adv. Math. 325, 215-242 (2018). Reviewer: Miroslav Repický (Košice) MSC: 22A10 54D20 03E02 03E75 PDFBibTeX XMLCite \textit{Y. Peng} and \textit{L. Wu}, Adv. Math. 325, 215--242 (2018; Zbl 1382.22004) Full Text: DOI
Leiderman, Arkady G.; Morris, Sidney A.; Tkachenko, Mikhail G. Density character of subgroups of topological groups. (English) Zbl 1420.54054 Trans. Am. Math. Soc. 369, No. 8, 5645-5664 (2017). MSC: 54H11 54D65 22D05 PDFBibTeX XMLCite \textit{A. G. Leiderman} et al., Trans. Am. Math. Soc. 369, No. 8, 5645--5664 (2017; Zbl 1420.54054) Full Text: DOI arXiv Link
Garcia-Ferreira, S.; Tomita, A. H. A pseudocompact group which is not strongly pseudocompact. (English) Zbl 1330.54045 Topology Appl. 192, 138-144 (2015). Reviewer: Anna Giordano Bruno (Udine) MSC: 54H11 54B05 22C05 22A05 PDFBibTeX XMLCite \textit{S. Garcia-Ferreira} and \textit{A. H. Tomita}, Topology Appl. 192, 138--144 (2015; Zbl 1330.54045) Full Text: DOI
Dikranjan, D.; Lukács, Gábor Compact-like abelian groups without non-trivial quasi-convex null sequences. (English) Zbl 1280.22002 J. Pure Appl. Algebra 218, No. 1, 135-147 (2014). MSC: 22A05 54H11 22C05 54D30 PDFBibTeX XMLCite \textit{D. Dikranjan} and \textit{G. Lukács}, J. Pure Appl. Algebra 218, No. 1, 135--147 (2014; Zbl 1280.22002) Full Text: DOI arXiv
Castro-Pereira, Irene; Tomita, Artur Hideyuki Abelian torsion groups with a countably compact group topology. (English) Zbl 1184.54034 Topology Appl. 157, No. 1, 44-52 (2010). Reviewer: Igor Vladimirov Protasov (Kyiv) MSC: 54H11 54A25 54A35 22A05 PDFBibTeX XMLCite \textit{I. Castro-Pereira} and \textit{A. H. Tomita}, Topology Appl. 157, No. 1, 44--52 (2010; Zbl 1184.54034) Full Text: DOI
Szeptycki, Paul J.; Tomita, Artur H. HFD groups in the Solovay model. (English) Zbl 1173.54016 Topology Appl. 156, No. 10, 1807-1810 (2009). Reviewer: Kohzo Yamada (Shizuoka) MSC: 54H11 22A05 54G20 03E35 PDFBibTeX XMLCite \textit{P. J. Szeptycki} and \textit{A. H. Tomita}, Topology Appl. 156, No. 10, 1807--1810 (2009; Zbl 1173.54016) Full Text: DOI
Galindo, J.; Garcia-Ferreira, S. Compact groups containing dense pseudocompact subgroups without non-trivial convergent sequences. (English) Zbl 1116.22001 Topology Appl. 154, No. 2, 476-490 (2007). Reviewer: Sophia U. Raczkowski (Bakersfield) MSC: 22A10 54H11 22B05 PDFBibTeX XMLCite \textit{J. Galindo} and \textit{S. Garcia-Ferreira}, Topology Appl. 154, No. 2, 476--490 (2007; Zbl 1116.22001) Full Text: DOI
Dikranjan, Dikran; Shakhmatov, Dmitri Forcing hereditarily separable compact-like group topologies on Abelian groups. (English) Zbl 1068.22001 Topology Appl. 151, No. 1-3, 2-54 (2005). Reviewer: Salvador Hernández (Castellon) MSC: 22A05 03E35 03E99 54A20 54A35 54D05 54D10 54D20 54D30 54D65 54G15 54G99 54H11 PDFBibTeX XMLCite \textit{D. Dikranjan} and \textit{D. Shakhmatov}, Topology Appl. 151, No. 1--3, 2--54 (2005; Zbl 1068.22001) Full Text: DOI
Tomita, A. H. Countable compactness and finite powers of topological groups without convergent sequences. (English) Zbl 1071.54020 Topology Appl. 146-147, 527-538 (2005). Reviewer: Su Gao (Denton) MSC: 54H11 54B10 03E50 22A05 22C05 54D20 54G20 54A35 PDFBibTeX XMLCite \textit{A. H. Tomita}, Topology Appl. 146--147, 527--538 (2005; Zbl 1071.54020) Full Text: DOI
Comfort, W. W.; Raczkowski, S. U.; Trigos-Arrieta, F. Javier The dual group of a dense subgroup. (English) Zbl 1080.22500 Czech. Math. J. 54, No. 2, 509-533 (2004). MSC: 22A10 22B99 22C05 43A40 PDFBibTeX XMLCite \textit{W. W. Comfort} et al., Czech. Math. J. 54, No. 2, 509--533 (2004; Zbl 1080.22500) Full Text: DOI EuDML
Banakh, Taras On cardinal invariants and metrizability of topological inverse Clifford semigroups. (English) Zbl 1029.20031 Topology Appl. 128, No. 1, 13-48 (2003). Reviewer: Václav Koubek (Praha) MSC: 20M18 22A15 54A25 54A35 54E35 03E50 PDFBibTeX XMLCite \textit{T. Banakh}, Topology Appl. 128, No. 1, 13--48 (2003; Zbl 1029.20031) Full Text: DOI
Tkachenko, Mikhail; Yaschenko, Ivan Independent group topologies on abelian groups. (English) Zbl 0997.22003 Topology Appl. 122, No. 1-2, 425-451 (2002). Reviewer: Manuel Sanchis (Castelló) MSC: 22A05 54H11 54A25 54A35 54G20 PDFBibTeX XMLCite \textit{M. Tkachenko} and \textit{I. Yaschenko}, Topology Appl. 122, No. 1--2, 425--451 (2002; Zbl 0997.22003) Full Text: DOI
Tkachenko, Mikhail G.; Falcón, Yolanda Torres Unions of chains in dyadic compact spaces and topological groups. (English) Zbl 1009.54007 Topology Appl. 121, No. 1-2, 25-32 (2002). Reviewer: David B.Gauld (Auckland) MSC: 54A25 54H11 54B10 54D30 54D45 22D05 PDFBibTeX XMLCite \textit{M. G. Tkachenko} and \textit{Y. T. Falcón}, Topology Appl. 121, No. 1--2, 25--32 (2002; Zbl 1009.54007) Full Text: DOI
Dikranjan, Dikran; Tkachenko, Michael Varieties generated by countably compact Abelian groups. (English) Zbl 1017.22001 Proc. Am. Math. Soc. 130, No. 8, 2487-2496 (2002). Reviewer: M.Stroppel (Stuttgart) MSC: 22A05 22B05 54D25 54H11 54A35 54B30 54D30 54H13 PDFBibTeX XMLCite \textit{D. Dikranjan} and \textit{M. Tkachenko}, Proc. Am. Math. Soc. 130, No. 8, 2487--2496 (2002; Zbl 1017.22001) Full Text: DOI
Tomita, Artur Hideyuki A group under \(\text{MA}_{\text{countable}}\) whose square is countably compact but whose cube is not. (English) Zbl 0927.54039 Topology Appl. 91, No. 2, 91-104 (1999). Reviewer: K.P.Hart (Delft) MSC: 54H11 22A05 03E50 54B10 54G20 PDFBibTeX XMLCite \textit{A. H. Tomita}, Topology Appl. 91, No. 2, 91--104 (1999; Zbl 0927.54039) Full Text: DOI
Dijkstra, Jan J.; van Mill, Jan Groups without convergent sequences. (English) Zbl 0867.22001 Topology Appl. 74, No. 1-3, 275-282 (1996). Reviewer: M.G.Tkachenko (Mexico) MSC: 22A10 54H11 54C45 PDFBibTeX XMLCite \textit{J. J. Dijkstra} and \textit{J. van Mill}, Topology Appl. 74, No. 1--3, 275--282 (1996; Zbl 0867.22001) Full Text: DOI
Tkachenko, M. G. Pseudocompact topological groups and their properties. (English. Russian original) Zbl 0712.22002 Sib. Math. J. 30, No. 1, 120-128 (1989); translation from Sib. Mat. Zh. 30, No. 1(173), 154-164 (1989). Reviewer: D.L.Grant MSC: 22A05 54D30 PDFBibTeX XMLCite \textit{M. G. Tkachenko}, Sib. Math. J. 30, No. 1, 120--128 (1989; Zbl 0712.22002); translation from Sib. Mat. Zh. 30, No. 1(173), 154--164 (1989) Full Text: DOI
Tkachenko, M. G. Pseudocompact topological groups and their properties. (English. Russian original) Zbl 0698.22003 Sib. Math. J. 30, No. 1, 120-128 (1989); translation from Sib. Mat. Zh. 30, No. 1(173), 154-164 (1989). Reviewer: D.L.Grant MSC: 22A05 54D30 PDFBibTeX XMLCite \textit{M. G. Tkachenko}, Sib. Math. J. 30, No. 1, 120--128 (1989; Zbl 0698.22003); translation from Sib. Mat. Zh. 30, No. 1(173), 154--164 (1989) Full Text: DOI
Tkachenko, M. G. Compactness type properties in topological groups. (English) Zbl 0664.54006 Czech. Math. J. 38(113), No. 2, 324-341 (1988). Reviewer: J.E.Vaughan MSC: 54B10 54D30 22A05 54B35 PDFBibTeX XMLCite \textit{M. G. Tkachenko}, Czech. Math. J. 38(113), No. 2, 324--341 (1988; Zbl 0664.54006) Full Text: EuDML
Hart, Klaas Pieter; van Mill, Jan A separable normal topological group which is not Lindelöf. (English) Zbl 0577.22005 Topology Appl. 20, 279-287 (1985). Reviewer: V.Eberhardt MSC: 22A05 54A25 54D20 54D15 PDFBibTeX XMLCite \textit{K. P. Hart} and \textit{J. van Mill}, Topology Appl. 20, 279--287 (1985; Zbl 0577.22005) Full Text: DOI
Mukhin, Yu. N. Topological groups. (English) Zbl 0566.22003 J. Sov. Math. 28, 825-870 (1985). MSC: 22A05 PDFBibTeX XMLCite \textit{Yu. N. Mukhin}, J. Sov. Math. 28, 825--870 (1985; Zbl 0566.22003) Full Text: DOI
Protasov, I. V. Varieties of topological algebras. (English. Russian original) Zbl 0572.08006 Sib. Math. J. 25, 783-790 (1984); translation from Sib. Mat. Zh. 25, No. 5(147), 125-134 (1984). Reviewer: W.Żelazko MSC: 08B20 22A30 54A05 54A25 PDFBibTeX XMLCite \textit{I. V. Protasov}, Sib. Math. J. 25, 783--790 (1984; Zbl 0572.08006); translation from Sib. Mat. Zh. 25, No. 5(147), 125--134 (1984) Full Text: DOI
van Douwen, Eric K. The product of two countably compact topological groups. (English) Zbl 0453.54006 Trans. Am. Math. Soc. 262, 417-427 (1980). MSC: 54B10 22A99 54D30 54A35 PDFBibTeX XMLCite \textit{E. K. van Douwen}, Trans. Am. Math. Soc. 262, 417--427 (1980; Zbl 0453.54006) Full Text: DOI