Ultraproducts, \(p\)-limits and antichains on the Comfort group order

DOI10.1016/J.TOPOL.2004.02.012zbMath1071.54004OpenAlexW2068390573MaRDI QIDQ1880713

W. Stephen Watson, Artur Hideyuki Tomita

Publication date: 1 October 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.02.012

zbMATH Keywords

Convergence\(p\)-compact\(p\)-limitSelective ultrafiltersComfort group orderCountably compact groupTopological product

Mathematics Subject Classification ID

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 (12)

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 ⋮ A group topology on the free abelian group of cardinality \(\mathfrak{c}\) that makes its finite powers countably compact ⋮ Almost \(p\)-compact groups ⋮ Selectively pseudocompact groups and \(p\)-compactness ⋮ Countably compact groups without non-trivial convergent sequences ⋮ The weight of a countably compact group whose cardinality has countable cofinality ⋮ 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 ⋮ Square of countably compact groups without non-trivial convergent sequences

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