Topological groups close to being \(\sigma\)-compact

DOI10.1016/S0166-8641(98)00129-1zbMath0942.22001OpenAlexW2092277212MaRDI QIDQ1971369

Constancio Hernández

Publication date: 2 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(98)00129-1

zbMATH Keywords

topological group\(\sigma\)-compact groupso-bounded groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) General properties and structure of locally compact groups (22D05) Topology of special sets defined by functions (54C50)

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Selection principles: s-Menger and s-Rothberger-bounded groups ⋮ Uniform boundedness in function spaces ⋮ Reflecting some properties of topological groups ⋮ Selection principles in relator spaces ⋮ Squares of Menger-bounded groups ⋮ 𝑜-bounded groups and other topological groups with strong combinatorial properties ⋮ Rothberger bounded groups and Ramsey theory ⋮ Boundedness properties in function spaces ⋮ The combinatorics of the Baer-Specker group ⋮ Filter games and pathological subgroups of a countable product of lines ⋮ Some covering properties in topological and uniform spaces ⋮ An example of a topological group ⋮ Suitable sets for subgroups of direct sums of discrete groups ⋮ On index of total boundedness of (strictly) \(o\)-bounded groups

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