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

DOI10.1007/BF01058916zbMath0717.22004MaRDI QIDQ753967

A. G. Piskunov

Publication date: 1990

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

zbMATH Keywords

sequential spaceVietoris topologylocally compact groupclosed subgroupscountable tightnessk-spacecountable pseudocharactercountable weightG sub(delta)-set

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Compactness (54D30) General properties and structure of locally compact groups (22D05) (k)-spaces (54D50)

Cites Work

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