Relative minimality and co-minimality of subgroups in topological groups

DOI10.1016/j.topol.2009.04.048zbMath1190.22002OpenAlexW2056097324MaRDI QIDQ1041646

Dikran Dikranjan, Michael G. Megrelishvili

Publication date: 3 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.048

zbMATH Keywords

Heisenberg groupminimal groupco-minimal subgrouprelatively minimal subgroup

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Abelian groups (20K99) Topological methods for abelian groups (20K45)

Related Items (10)

M‐normal subgroups and non‐abelian lower continuous topological groups ⋮ Notes on non-Archimedean topological groups ⋮ Homeomorphism groups of homogeneous compacta need not be minimal ⋮ Every topological group is a group retract of a minimal group ⋮ Locally minimal topological groups. II ⋮ Locally minimal topological groups. I ⋮ Categorically closed topological groups ⋮ A quantitative generalization of Prodanov-Stoyanov theorem on minimal abelian topological groups ⋮ Cardinal invariants and convergence properties of locally minimal groups ⋮ Minimality of topological matrix groups and Fermat primes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On subgroups of minimal topological groups
• Every topological group is a group retract of a minimal group
• Locally minimal topological groups. I
• On the product of two (totally) minimal topological groups and the three- space-problem
• Complete minimal and totally minimal groups
• Über den Satz von Wiener und lokalkompakte Gruppen
• Examples of locally compact non-compact minimal topological groups
• An example of a Q-minimal precompact topological group containing a nonminimal closed normal subgroup
• Recent advances in minimal topological groups
• Group representations and construction of minimal topological groups
• Transversal group topologies on non-Abelian groups
• Minimal topological groups
• Arnautov's problems on semitopological isomorphisms
• Minimality in topological groups and Heisenberg type groups
• On Lie groups in varieties of topological groups

This page was built for publication: Relative minimality and co-minimality of subgroups in topological groups