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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bardyla, Serhii; Ravsky, Alex; Zdomskyy, Lyubomyr A countably compact topological group with the non-countably pracompact square. (English) Zbl 1508.22001 Topology Appl. 279, Article ID 107251, 6 p. (2020). MSC: 22A05 54H11 54B10 54G20 54A35 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dikranjan, Dikran The gentle, generous giant tampering with dense subgroups of topological groups. (English) Zbl 1414.22004 Topology Appl. 259, 6-27 (2019). MSC: 22A05 22B05 54D25 54H11 54A35 54B30 54D30 54H13 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Błaszczyk, Aleksander; Tkachenko, Mikhail Transversal, \(T_{1}\)-independent, and \(T_{1}\)-complementary topologies. (English) Zbl 1373.54001 Topology Appl. 230, 308-337 (2017). MSC: 54-02 54A10 54B35 54A05 52A01 54D30 × Cite Format Result Cite Review PDF Full Text: DOI
Gabriyelyan, S. Topological properties of the group of the null sequences valued in an abelian topological group. (English) Zbl 1346.22001 Topology Appl. 207, 136-155 (2016). Reviewer: Kohzo Yamada (Shizuoka) MSC: 22A10 22A25 43A05 43A40 54H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boero, Ana Carolina; Castro Pereira, Irene; Tomita, Artur Hideyuki A group topology on the real line that makes its square countably compact but not its cube. (English) Zbl 1330.54044 Topology Appl. 192, 30-57 (2015). Reviewer: Anna Giordano Bruno (Udine) MSC: 54H11 22A05 54A35 54G20 × Cite Format Result Cite Review PDF Full Text: DOI
Sanchis, Manuel; Tomita, Artur Hideyuki Almost \(p\)-compact groups. (English) Zbl 1244.54025 Topology Appl. 159, No. 9, 2513-2527 (2012). Reviewer: Enrico Zoli (Firenze) MSC: 54B10 54A35 22A05 03E50 54G20 54H11 × Cite Format Result Cite Review PDF Full Text: DOI
Madariaga-Garcia, Roberto E.; Tomita, Artur Hideyuki Countably compact topological group topologies on free Abelian groups from selective ultrafilters. (English) Zbl 1116.54004 Topology Appl. 154, No. 7, 1470-1480 (2007). Reviewer: Jörg D. Brendle (Kobe) MSC: 54A35 54D20 54G20 54H11 22A05 22A15 03E75 × Cite Format Result Cite Review PDF Full Text: DOI
Tomita, Artur Hideyuki Square of countably compact groups without non-trivial convergent sequences. (English) Zbl 1083.54024 Topology Appl. 153, No. 1, 107-122 (2005). Reviewer: Miroslav Hušek (Praha) MSC: 54H11 54B10 54D80 × Cite Format Result Cite Review PDF Full Text: DOI
Tomita, Artur Hideyuki The weight of a countably compact group whose cardinality has countable cofinality. (English) Zbl 1068.54040 Topology Appl. 150, No. 1-3, 197-205 (2005). Reviewer: Sophia U. Raczkowski (Bakersfield) MSC: 54H11 54A25 54A35 22A05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Tkachenko, Michael Provisional solution to a Comfort–van Mill problem. (English) Zbl 1017.54022 Topology Appl. 125, No. 1, 171-182 (2002). Reviewer: Oleg V.Gutik (Lviv) MSC: 54H11 54A35 54B10 54A10 54B05 22A05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Pearl, Elliott Open problems in topology, seventh status report. (English) Zbl 0973.54001 Topology Appl. 114, No. 3, 333-352 (2001). MSC: 54-02 00A07 × Cite Format Result Cite Review PDF Full Text: DOI
Dikranjan, Dikran; Tkačenko, Michael Sequentially complete groups: Dimension and minimality. (English) Zbl 0976.22002 J. Pure Appl. Algebra 157, No. 2-3, 215-239 (2001). Reviewer: S.Ganguly (Kolkata) MSC: 22A05 54D25 22B05 54H11 54A35 54D30 54H13 × Cite Format Result Cite Review PDF Full Text: DOI
Shakhmatov, Dmitri A comparative survey of selected results and open problems concerning topological groups, fields and vector spaces. (English) Zbl 0955.54014 Topology Appl. 91, No. 1, 51-63 (1999). MSC: 54H11 22A05 54B10 54F45 54H13 54H20 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Dikranjan, Dikran Compactness and connectedness in topological groups. (English) Zbl 0995.54036 Topology Appl. 84, No. 1-3, 227-252 (1998). MSC: 54H11 22A05 54D05 54D30 54F45 × Cite Format Result Cite Review PDF Full Text: DOI
Dikranjan, Dikran Recent advances in minimal topological groups. (English) Zbl 0983.54037 Topology Appl. 85, No. 1-3, 53-91 (1998). MSC: 54H11 22A05 54D30 × Cite Format Result Cite Review PDF Full Text: DOI