A group topology on the real line that makes its square countably compact but not its cube

DOI10.1016/J.TOPOL.2015.05.070zbMath1330.54044OpenAlexW597208086MaRDI QIDQ491800

Ana Carolina Boero, Artur Hideyuki Tomita, Irene Castro Pereira

Publication date: 19 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.070

zbMATH Keywords

countable compactnesscountably compact groupcountably compact squaregroup topology on the real linepseudointersection number

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 (2)

On countably compact group topologies without non-trivial convergent sequences on \(\mathbb{Q}^{(\kappa)}\) for arbitrarily large \(\kappa\) and a selective ultrafilter ⋮ A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences

Cites Work

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• Some applications of ultrafilters in topology
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• The Product of Two Countably Compact Topological Groups
• A Countably Compact Topological Group H Such that H × H is not Countably Compact
• A new kind of compactness for topological spaces
• A solution to Comfort's question on the countable compactness of powers of a topological group

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