A group topology on the free abelian group of cardinality \(\mathfrak{c}\) that makes its finite powers countably compact

DOI10.1016/j.topol.2015.05.060zbMath1334.54054OpenAlexW2232964727MaRDI QIDQ898534

Artur Hideyuki Tomita

Publication date: 18 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.060

zbMATH Keywords

topological groupcountably compactselective ultrafilterfree abelian groupfinite productinteger stack

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Torsion-free groups, infinite rank (20K20) Other combinatorial set theory (03E05)

Related Items

Some pseudocompact-like properties in certain topological groups, On countably compact group topologies without non-trivial convergent sequences on \(\mathbb{Q}^{(\kappa)}\) for arbitrarily large \(\kappa\) and a selective ultrafilter, The gentle, generous giant tampering with dense subgroups of topological groups, 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, Algebraic structure of countably compact non-torsion abelian groups of size continuum from selective ultrafilters, Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences

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