Locally minimal topological groups. I

DOI10.1016/j.jmaa.2010.04.026zbMath1225.22002arXiv0912.2946OpenAlexW4213235688MaRDI QIDQ984798

Dikran Dikranjan, Lydia Außenhofer, Xabier Dominguez, Maria-Jesus Chasco

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2946

zbMATH Keywords

minimal groupGTG setlocally GTG groupgroup without small subgroupslocally minimal groupbounded groupgroup uniformly free from small subgroupslocally bounded grouppseudo-convex set

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 ⋮ Weakening topologies on a countable Abelian group of finite exponent ⋮ 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 ⋮ Characterizing sequences for precompact group topologies ⋮ Locally minimal topological groups. I ⋮ Cardinal invariants and convergence properties of locally minimal groups ⋮ Lower continuous topological groups ⋮ Relative minimality and co-minimality of subgroups in topological groups

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