Minimal topological groups

DOI10.1007/BF02052870zbMath0206.31601OpenAlexW2921851001MaRDI QIDQ2542753

Robert M. Stephenson Jr.

Publication date: 1971

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162165

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compact groups (22C05) General properties and structure of locally compact groups (22D05)

Related Items (48)

On transversal group topologies ⋮ Countably compact groups having minimal infinite powers ⋮ c-minimal topological groups ⋮ Unnamed Item ⋮ On convergence groups with dense coarse subgroups ⋮ Group representations and construction of minimal topological groups ⋮ Quotients of locally minimal groups ⋮ Minimal pseudocompact group topologies on free abelian groups ⋮ CLP-compactness for topological spaces and groups ⋮ Categorically compact topological groups ⋮ Proper Pseudocompact Extensions of Compact Abelian Group Topologies ⋮ Compact-like abelian groups without non-trivial quasi-convex null sequences ⋮ On the lattice of linear module topologies ⋮ M‐normal subgroups and non‐abelian lower continuous topological groups ⋮ On the quasi-component of pseudocompact abelian groups ⋮ Products of locally minimal groups ⋮ Report on the open problems session ⋮ Notes on non-Archimedean topological groups ⋮ On a complete topological inverse polycyclic monoid ⋮ Transversal group topologies on non-Abelian groups ⋮ Local minimalities in paratopological groups ⋮ Locally compact groups and locally minimal group topologies ⋮ Unnamed Item ⋮ On subgroups of minimal topological groups ⋮ Transversality on locally pseudocompact groups ⋮ Characterizing Lie groups by controlling their zero-dimensional subgroups ⋮ Dense minimal pseudocompact subgroups of compact Abelian groups ⋮ Every topological group is a group retract of a minimal group ⋮ On zero-dimensionality and the connected component of locally pseudocompact groups ⋮ Cardinal invariants in locally \(T_i\)-minimal paratopological groups ⋮ Locally minimal topological groups. II ⋮ Sequentially complete groups: Dimension and minimality ⋮ On topological groups with a small base and metrizability ⋮ Locally minimal topological groups. I ⋮ Order and minimality of some topological groups ⋮ Cardinal invariants and convergence properties of locally minimal groups ⋮ Algebraically compact rings ⋮ Hereditarily minimal topological groups ⋮ Gaps in lattices of (para)topological group topologies and cardinal functions ⋮ Densely locally minimal groups ⋮ Relative minimality and co-minimality of subgroups in topological groups ⋮ Quotients of zero-dimensional precompact abelian groups ⋮ Recent advances in minimal topological groups ⋮ Compactness and connectedness in topological groups ⋮ On a property of the one-dimensional torus ⋮ Topological groups ⋮ Minimality of topological matrix groups and Fermat primes ⋮ Essential subgroups of topological groups

Cites Work

• Unnamed Item
• \(T_\nu\)-Abgeschlossenheit und \(T_\nu\)-Minimalität. (\(T_\nu\)-closedness and \(T_\nu\)-minimality)
• Minimal Hausdorff and maximal compact spaces
• Minimal topologies
• Minimal Topological Spaces
• Über zwei Extremaleigenschaften topologischer Räume

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