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Topological groups with \(\sigma\)-compact space of subgroups

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Publication:1063700
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DOI10.1007/BF01056856zbMath0574.22003MaRDI QIDQ1063700

Igor Vladimirov Protasov

Publication date: 1985

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


zbMATH Keywords

locally compact groups\(\sigma \) -compactlattice of closed subgroupsmetrizable subgroups


Mathematics Subject Classification ID

General properties and structure of locally compact groups (22D05) Topological semilattices, lattices and applications (22A26)


Related Items (5)

Compact subspaces in the space of subgroups of a topological group ⋮ Metrizability in a space of subgroups of a Lie group ⋮ Selective survey on spaces of closed subgroups of topological groups ⋮ Cardinality of open \(\sigma\)-compact sets in the space of noncompact subgroups of a topological group ⋮ Abelian limits of compact groups in the space of closed subgroups



Cites Work

  • Compactness in the lattice of subgroups of a topological group


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