Cardinality of open \(\sigma\)-compact sets in the space of noncompact subgroups of a topological group

DOI10.1007/BF01057194zbMath0723.22004MaRDI QIDQ757609

A. G. Piskunov

Publication date: 1988

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Vietoris topologylocally compact groupclosed subgroupscountable pseudocharacter\(\sigma \) -compact groupnoncompact subgroups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) General properties and structure of locally compact groups (22D05) Local compactness, (sigma)-compactness (54D45)

Related Items (1)

Reconstruction of the Vietoris topology from compacta in the space of closed subgroups

Cites Work

• Topological groups with \(\sigma\)-compact space of subgroups
• A maximal problem in harmonic analysis. III
• Compactness in the lattice of subgroups of a topological group

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