A solution to Comfort's question on the countable compactness of powers of a topological group

DOI10.4064/FM186-1-1zbMath1084.54003OpenAlexW2012251737MaRDI QIDQ5694284

Artur Hideyuki Tomita

Publication date: 29 September 2005

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm186-1-1

zbMATH Keywords

selective ultrafiltertopological productMartin's Axiomcountably compact topological groupp-limitno nontrivial convergent sequences

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Counterexamples in general topology (54G20) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35)

Related Items (15)

Some pseudocompact-like properties in certain topological groups ⋮ Convergent sequences in topological groups ⋮ Countably compact topological group topologies on free Abelian groups from selective ultrafilters ⋮ A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences ⋮ Countably compact group topologies on arbitrarily large free abelian groups ⋮ A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence ⋮ A group topology on the free abelian group of cardinality \(\mathfrak{c}\) that makes its finite powers countably compact ⋮ On powers of countably pracompact groups ⋮ Almost \(p\)-compact groups ⋮ Countably compact groups without non-trivial convergent sequences ⋮ A group topology on the real line that makes its square countably compact but not its cube ⋮ Forcing a classification of non-torsion abelian groups of size at most \(2^{\mathfrak{c}}\) with non-trivial convergent sequences ⋮ Algebraic structure of countably compact non-torsion abelian groups of size continuum from selective ultrafilters ⋮ Abelian torsion groups with a countably compact group topology ⋮ Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences

This page was built for publication: A solution to Comfort's question on the countable compactness of powers of a topological group