A countably cellular topological group all of whose countable subsets are closed need not be $\mathbb{R}$-factorizable

DOI10.14712/1213-7243.2023.016OpenAlexW4388639456MaRDI QIDQ6178012

Mikhail G. Tkachenko

Publication date: 18 January 2024

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2023.016

zbMATH Keywords

Bohr topology\(C\)-embeddedcellularityDieudonné completionHewitt-Nachbin completionSorgenfrey line\(\mathbb{R}\)-factorizable\(P\)-group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Topological groups (topological aspects) (54H11) Counterexamples in general topology (54G20)

Cites Work

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• The free topological group on the Sorgenfrey line is not \(\mathbb R\)-factorizable
• Topological groups and related structures
• The continuous \(d\)-open homomorphism images and subgroups of \(\mathbb{R} \)-factorizable paratopological groups
• Free Boolean topological groups
• Cellularity in quotient spaces of topological groups
• Factoring Functions on Cartesian Products

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