A countably compact free Abelian group whose size has countable cofinality

DOI10.4995/AGT.2004.1998zbMath1072.54028OpenAlexW1989093294MaRDI QIDQ4668082

I. C. Pereira, Artur Hideyuki Tomita

Publication date: 18 April 2005

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4995/agt.2004.1998

zbMATH Keywords

free groupforcingcountably compactcountable cofinality

Mathematics Subject Classification ID

Compactness (54D30) Topological groups (topological aspects) (54H11) Consistency and independence results in general topology (54A35) Topological and differentiable algebraic systems (22A99)

Related Items (4)

Countably compact topological group topologies on free Abelian groups from selective ultrafilters ⋮ 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

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