Abelian torsion groups with a countably compact group topology

DOI10.1016/J.TOPOL.2009.04.051zbMath1184.54034OpenAlexW2045104250MaRDI QIDQ1041644

Artur Hideyuki Tomita, Irene Castro Pereira

Publication date: 3 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.051

zbMATH Keywords

torsion groupUlm-Kaplansky invariantsselective ultrafilterscountably compact groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Consistency and independence results in general topology (54A35)

Related Items (7)

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 ⋮ Countably compact group topologies on arbitrarily large free abelian groups ⋮ A group topology on the free abelian group of cardinality \(\mathfrak{c}\) that makes its finite powers countably compact ⋮ Almost \(p\)-compact groups ⋮ 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

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