On Lie groups in varieties of topological groups

DOI10.4064/cm-78-1-39-47zbMath0917.22003OpenAlexW4254118095WikidataQ115217809 ScholiaQ115217809MaRDI QIDQ4236806

Sidney A. Morris, Vladimir G. Pestov

Publication date: 22 July 1999

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210604

zbMATH Keywords

Banach-Lie groupno small subgroupsvarieties of topological groupslocally minimal groupsminimal group topologies

Mathematics Subject Classification ID

Structure of general topological groups (22A05)

Related Items (16)

Quotients of locally minimal groups ⋮ Groups admitting no non-discrete locally minimal group topologies ⋮ M‐normal subgroups and non‐abelian lower continuous topological groups ⋮ Products of locally minimal groups ⋮ On the Hausdorff variety generated by all locally \(k_\omega\) groups and on Schwartz groups ⋮ Escaping a Neighborhood Along a Prescribed Sequence in Lie Groups and Banach Algebras ⋮ Local minimalities in paratopological groups ⋮ Locally compact groups and locally minimal group topologies ⋮ Characterizing Lie groups by controlling their zero-dimensional subgroups ⋮ Cardinal invariants in locally \(T_i\)-minimal paratopological groups ⋮ Locally minimal topological groups. II ⋮ Locally minimal topological groups. I ⋮ Cardinal invariants and convergence properties of locally minimal groups ⋮ Hereditarily minimal topological groups ⋮ Densely locally minimal groups ⋮ Relative minimality and co-minimality of subgroups in topological groups

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