Building suitable sets for locally compact groups by means of continuous selections

DOI10.1016/j.topol.2008.12.009zbMath1165.22006arXiv0812.0489OpenAlexW2040317714MaRDI QIDQ1013806

Dmitrij B. Shakhmatov

Publication date: 23 April 2009

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

Full work available at URL: https://arxiv.org/abs/0812.0489

zbMATH Keywords

selectiongenerating ranklocally compact grouplower semicontinuouscompactly generatedset-valued mapconverging sequencesuitable set

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Structure of general topological groups (22A05) Compactness (54D30) Topological groups (topological aspects) (54H11) Selections in general topology (54C65) Compact groups (22C05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Subspaces in general topology (54B05) General properties and structure of locally compact groups (22D05) Spectra in general topology (54B35) Local compactness, (sigma)-compactness (54D45)

Related Items (2)

Quasi-convexly dense and suitable sets in the arc component of a compact group ⋮ Quasi-convex density and determining subgroups of compact Abelian groups

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• The structure of compact groups. A primer for the student -- a handbook for the expert

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