An example of a Q-minimal precompact topological group containing a nonminimal closed normal subgroup

DOI10.1007/BF01309015zbMath0403.22001MaRDI QIDQ1256076

Ulrich Schwanengel

Publication date: 1979

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154618

zbMATH Keywords

Hausdorff topological groupnonminimal closed normal subgroupq-minimal group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Compact groups (22C05)

Related Items (6)

Quotients of locally minimal groups ⋮ Products of locally minimal groups ⋮ Every topological group is a group retract of a minimal group ⋮ Relative minimality and co-minimality of subgroups in topological groups ⋮ Recent advances in minimal topological groups ⋮ Topological groups

Cites Work

• Unnamed Item
• Some minimal group topologies are precompact
• Topological groups which satisfy an open mapping theorem

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