Countably compact group topologies on the free abelian group of size continuum (and a Wallace semigroup) from a selective ultrafilter

DOI10.1007/s10474-019-00991-wzbMath1449.54043arXiv1909.03607OpenAlexW3103158176WikidataQ127084319 ScholiaQ127084319MaRDI QIDQ2338576

Ana Carolina Boero, I. C. Pereira, Artur Hideyuki Tomita

Publication date: 21 November 2019

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03607

zbMATH Keywords

topological group countable compactness selective ultrafilter free abelian group Wallace's problem

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Counterexamples in general topology (54G20) Consistency and independence results in general topology (54A35)

Related Items (7)

Some pseudocompact-like properties in certain topological groups ⋮ 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 ⋮ 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 ⋮ Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences

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