Pseudocompact groups without converging sequences

DOI10.1007/BF01652517zbMath0575.22001OpenAlexW1971089289MaRDI QIDQ1064416

V. I. Malykhin, Leonid B. Shapiro

Publication date: 1985

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01652517

zbMATH Keywords

convergent sequenceGCHindependent of ZFCpseudocompact group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Consistency and independence results (03E35)

Related Items (12)

Compact groups containing dense pseudocompact subgroups without non-trivial convergent sequences ⋮ Convergent sequences in topological groups ⋮ On countably compact group topologies without non-trivial convergent sequences on \(\mathbb{Q}^{(\kappa)}\) for arbitrarily large \(\kappa\) and a selective ultrafilter ⋮ Contributions to the Bohr topology by W.W. Comfort ⋮ Countably compact groups without non-trivial convergent sequences ⋮ Groups without convergent sequences ⋮ On countable nondiscrete fields without nontrivial convergent sequences ⋮ Forcing hereditarily separable compact-like group topologies on Abelian groups ⋮ Algebraic structure of countably compact non-torsion abelian groups of size continuum from selective ultrafilters ⋮ Selectively pseudocompact groups without infinite separable pseudocompact subsets ⋮ Pseudocompact Topological Groups ⋮ Abelian torsion groups with a countably compact group topology

Cites Work

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• Definable forcing axiom: An alternative to Martin's axiom
• The Product of Two Countably Compact Topological Groups

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