Complete minimal and totally minimal groups

DOI10.1016/0166-8641(91)90032-HzbMath0758.22001OpenAlexW2048756979MaRDI QIDQ1183645

Dieter Remus, Latchezar Stoyanov

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0166-8641(91)90032-h

zbMATH Keywords

semidirect productslocally compact grouptotally minimalcomplete topological groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) General properties and structure of locally compact groups (22D05)

Related Items (16)

Countably compact groups having minimal infinite powers ⋮ c-minimal topological groups ⋮ Group representations and construction of minimal topological groups ⋮ Quotients of locally minimal groups ⋮ Categorically compact topological groups ⋮ Products of locally minimal groups ⋮ Notes on non-Archimedean topological groups ⋮ Transversal group topologies on non-Abelian groups ⋮ On subgroups of minimal topological groups ⋮ Every topological group is a group retract of a minimal group ⋮ Sequential completeness of quotient groups ⋮ Hereditarily minimal topological groups ⋮ Relative minimality and co-minimality of subgroups in topological groups ⋮ Recent advances in minimal topological groups ⋮ Compactness and connectedness in topological groups ⋮ Minimality of topological matrix groups and Fermat primes

Cites Work

• On the product of two (totally) minimal topological groups and the three- space-problem
• Examples of locally compact non-compact minimal topological groups
• Factorization of locally compact Abelian groups
• On the group of automorphisms of a finite-dimensional topological group
• Absolutely closed Lie groups
• Sur les groupes topologiques localement compacts
• Topological homogeneity. Topological groups and their continuous images
• Uniqueness in Structure Theorems for LCA Groups
• THE CONNECTED COMPONENT OF THE GROUP OF AUTOMORPHISMS OF A LOCALLY COMPACT GROUP
• A Note on Groups with Relatively Compact Conjugacy Classes
• The Automorphism Group of a Lie Group
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