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
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
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
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
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
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
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
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