On countably compact group topologies without non-trivial convergent sequences on Q(κ) for arbitrarily large κ and a selective ultrafilter

2021 ◽  
Vol 294 ◽  
pp. 107653 ◽  
Author(s):  
Matheus Koveroff Bellini ◽  
Vinicius de Oliveira Rodrigues ◽  
Artur Hideyuki Tomita
Keyword(s):  
Compact Group ◽  
Countably Compact ◽  
Selective Ultrafilter ◽  
Convergent Sequences

scholarly journals Countably compact group topologies on non-torsion Abelian groups of size continuum with non-trivial convergent sequences

2019 ◽  
Vol 267 ◽  
pp. 106894
Author(s):  
Matheus Koveroff Bellini ◽  
Ana Carolina Boero ◽  
Irene Castro-Pereira ◽  
Vinicius de Oliveira Rodrigues ◽  
Artur Hideyuki Tomita
Keyword(s):  
Compact Group ◽  
Abelian Groups ◽  
Countably Compact ◽  
Convergent Sequences

scholarly journals Abelian torsion groups with a countably compact group topology

2010 ◽  
Vol 157 (1) ◽  
pp. 44-52 ◽  
Author(s):  
Irene Castro-Pereira ◽  
Artur Hideyuki Tomita
Keyword(s):  
Compact Group ◽  
Group Topology ◽  
Countably Compact ◽  
Torsion Groups

scholarly journals Countably compact groups without non-trivial convergent sequences

2020 ◽  
Vol 374 (2) ◽  
pp. 1277-1296 ◽  
Author(s):  
M. Hrušák ◽  
J. van Mill ◽  
U. A. Ramos-García ◽  
S. Shelah
Keyword(s):  
Compact Groups ◽  
Countably Compact ◽  
Convergent Sequences

scholarly journals Countably compact groups from a selective ultrafilter

2004 ◽  
Vol 133 (3) ◽  
pp. 937-943 ◽  
Author(s):  
S. Garcia-Ferreira ◽  
A. H. Tomita ◽  
S. Watson
Keyword(s):  
Compact Groups ◽  
Countably Compact ◽  
Selective Ultrafilter
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