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
Peng, Liang-Xue; Ma, Chun-Jie A study on weakly Lindelöf (para)topological groups with a \(q\)-point and \(m(\mathcal{M})\)-factorizability. (English) Zbl 1505.54052 Topology Appl. 319, Article ID 108217, 15 p. (2022). Reviewer: Anna Giordano Bruno (Udine) MSC: 54H11 PDFBibTeX XMLCite \textit{L.-X. Peng} and \textit{C.-J. Ma}, Topology Appl. 319, Article ID 108217, 15 p. (2022; Zbl 1505.54052) Full Text: DOI
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
Liu, Xin; Liu, Chuan Notes on spaces with certain point-countable families. (English) Zbl 1498.54019 Houston J. Math. 47, No. 1, 211-222 (2021). Reviewer: Xuewei Ling (Nanjing) MSC: 54C10 54D55 54E20 54E40 PDFBibTeX XMLCite \textit{X. Liu} and \textit{C. Liu}, Houston J. Math. 47, No. 1, 211--222 (2021; Zbl 1498.54019) Full Text: Link
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
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
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
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
Garcia-Ferreira, S.; Tomita, A. H. Finite powers of selectively pseudocompact groups. (English) Zbl 1404.54024 Topology Appl. 248, 50-58 (2018). Reviewer: María Vicenta Ferrer González (Castelló) MSC: 54H11 54B05 54E99 PDFBibTeX XMLCite \textit{S. Garcia-Ferreira} and \textit{A. H. Tomita}, Topology Appl. 248, 50--58 (2018; Zbl 1404.54024) Full Text: DOI arXiv
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
Boero, A. C.; Garcia-Ferreira, S.; Tomita, A. H. A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence. (English) Zbl 1244.54075 Topology Appl. 159, No. 4, 1258-1265 (2012). Reviewer: Shing So (Warrensburg) MSC: 54H11 54A35 54G20 03E75 PDFBibTeX XMLCite \textit{A. C. Boero} et al., Topology Appl. 159, No. 4, 1258--1265 (2012; Zbl 1244.54075) Full Text: DOI
Gruenhage, Gary; Sakai, Masami Selective separability and its variations. (English) Zbl 1228.54028 Topology Appl. 158, No. 12, 1352-1359 (2011). Reviewer: Haruto Ohta (Shizuoka) MSC: 54D65 54C35 PDFBibTeX XMLCite \textit{G. Gruenhage} and \textit{M. Sakai}, Topology Appl. 158, No. 12, 1352--1359 (2011; Zbl 1228.54028) Full Text: DOI
Szeptycki, Paul J. Normality in products with a countable factor. (English) Zbl 1194.54029 Topology Appl. 157, No. 9, 1622-1628 (2010). Reviewer: Judith Roitman (Lawrence) MSC: 54D15 54B10 03E99 54A25 PDFBibTeX XMLCite \textit{P. J. Szeptycki}, Topology Appl. 157, No. 9, 1622--1628 (2010; Zbl 1194.54029) Full Text: DOI
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
Eisworth, Todd Countable compactness, hereditary \(\pi\)-character, and the continuum hypothesis. (English) Zbl 1101.03033 Topology Appl. 153, No. 18, 3572-3597 (2006). MSC: 03E35 03E50 54A35 54D10 54D30 PDFBibTeX XMLCite \textit{T. Eisworth}, Topology Appl. 153, No. 18, 3572--3597 (2006; Zbl 1101.03033) 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
Garcia-Ferreira, S.; Tomita, A. H.; Watson, S. Countably compact groups from a selective ultrafilter. (English) Zbl 1062.54037 Proc. Am. Math. Soc. 133, No. 3, 937-943 (2005). Reviewer: Aleksandr A. Ivanov (St. Peterburg) MSC: 54G20 54H11 54A20 54D30 54D80 PDFBibTeX XMLCite \textit{S. Garcia-Ferreira} et al., Proc. Am. Math. Soc. 133, No. 3, 937--943 (2005; Zbl 1062.54037) Full Text: DOI
Tomita, A. H.; Watson, S. Ultraproducts, \(p\)-limits and antichains on the Comfort group order. (English) Zbl 1071.54004 Topology Appl. 143, No. 1-3, 147-157 (2004). Reviewer: Kiyoshi Iseki (Osaka) MSC: 54B10 03E50 54A35 54G20 PDFBibTeX XMLCite \textit{A. H. Tomita} and \textit{S. Watson}, Topology Appl. 143, No. 1--3, 147--157 (2004; Zbl 1071.54004) Full Text: DOI
de la Vega, Ramiro; Kunen, Kenneth A compact homogeneous S-space. (English) Zbl 1048.54013 Topology Appl. 136, No. 1-3, 123-127 (2004). Reviewer: Jan van Mill (Amsterdam) MSC: 54D99 54G20 54D30 54A35 PDFBibTeX XMLCite \textit{R. de la Vega} and \textit{K. Kunen}, Topology Appl. 136, No. 1--3, 123--127 (2004; Zbl 1048.54013) Full Text: DOI arXiv Backlinks: MO
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
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
van Hartskamp, Michael; van Mill, Jan Normal spaces and fixed points of Čech-Stone extensions. (English) Zbl 0946.54037 Topology Appl. 87, No. 1, 21-27 (1998). MSC: 54H25 54C20 54D15 54A10 54D35 54G20 PDFBibTeX XMLCite \textit{M. van Hartskamp} and \textit{J. van Mill}, Topology Appl. 87, No. 1, 21--27 (1998; Zbl 0946.54037) 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
Arhangel’skii, A. V. On Lindelöf property and spread in \(C_ p\)-theory. (English) Zbl 0865.54006 Topology Appl. 74, No. 1-3, 83-90 (1996). MSC: 54A25 54A35 PDFBibTeX XMLCite \textit{A. V. Arhangel'skii}, Topology Appl. 74, No. 1--3, 83--90 (1996; Zbl 0865.54006) Full Text: DOI
Arhangelskii, A. V. On spread and condensations. (English) Zbl 0858.54003 Proc. Am. Math. Soc. 124, No. 11, 3519-3527 (1996). MSC: 54A25 54C35 54A35 PDFBibTeX XMLCite \textit{A. V. Arhangelskii}, Proc. Am. Math. Soc. 124, No. 11, 3519--3527 (1996; Zbl 0858.54003) Full Text: DOI
Malychin, V. I. Topological spaces with properties undetermined in ZFC. (English) Zbl 0801.54003 Topology Appl. 57, No. 2-3, 209-214 (1994). Reviewer: A.Dow (North York) MSC: 54A35 03E35 54A25 PDFBibTeX XMLCite \textit{V. I. Malychin}, Topology Appl. 57, No. 2--3, 209--214 (1994; Zbl 0801.54003) Full Text: DOI
Nyikos, Peter J. Hereditary normality versus countable tightness in countably compact spaces. (English) Zbl 0766.54004 Topology Appl. 44, No. 1-3, 271-292 (1992). Reviewer: A.Dow (North York) MSC: 54A35 54D35 PDFBibTeX XMLCite \textit{P. J. Nyikos}, Topology Appl. 44, No. 1--3, 271--292 (1992; Zbl 0766.54004) 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
van Mill, Jan In memoriam: Eric Karl van Douwen (1946-1987). (English) Zbl 0662.01014 Topology Appl. 31, No. 1, 1-18 (1989). MSC: 01A70 01A60 PDFBibTeX XMLCite \textit{J. van Mill}, Topology Appl. 31, No. 1, 1--18 (1989; Zbl 0662.01014) 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
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