Each topological group embeds into a duoseparable topological group

DOI10.1016/J.TOPOL.2020.107487OpenAlexW3112179559MaRDI QIDQ2219290

Taras Banakh, I. J. Guran, O. V. Ravskyj

Publication date: 19 January 2021

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

Full work available at URL: https://arxiv.org/abs/2002.06232

zbMATH Keywords

topological groupsemidirect productseparableprecompactHartman-Mycielski constructionnarrowduoseparablelocally compact abelian topological grouppreseparableunital topologized magma

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groupoids (including differentiable and Lie groupoids) (22A22) General properties and structure of LCA groups (22B05) Separability of topological spaces (54D65)

Cites Work

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• Uniform spaces and measures
• Topological groups and related structures
• On subgroups of minimal topological groups
• Introduction to topological groups
• Generalizing separability, precompactness and narrowness in topological groups
• On the imbedding of topological groups into connected topological groups
• The Basis Theorem for Finitely Generated Abelian Groups
• Embeddings in contractible or compact objects

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