Cardinal invariants and convergence properties of locally minimal groups

DOI10.1016/j.topol.2019.106984zbMath1439.22002arXiv1911.04296OpenAlexW2996486505WikidataQ126585935 ScholiaQ126585935MaRDI QIDQ2295639

Dikran Dikranjan, Dmitrij B. Shakhmatov

Publication date: 14 February 2020

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

Full work available at URL: https://arxiv.org/abs/1911.04296

zbMATH Keywords

tightnesssequentialradialFréchet-Urysohn(locally) compact group(locally) minimal group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Sequential spaces (54D55) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Compact groups (22C05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) General properties and structure of locally compact groups (22D05)

Cites Work

• Locally minimal topological groups. II
• An internal characterisation of radiality
• Topological groups and related structures
• Locally minimal topological groups. I
• Relative minimality and co-minimality of subgroups in topological groups
• Character and pseudocharacter in minimal topological groups
• Some properties of radial spaces
• On the consistency of the Moore-Mrówka solution
• Recent advances in minimal topological groups
• Group representations and construction of minimal topological groups
• Countably compact groups satisfying the open mapping theorem
• Topological groups with thin generating sets
• Malykhin's problem
• Minimal topological algebras
• Countably compact groups and sequential order
• Precompact groups and convergence
• Minimal pseudocompact group topologies on free abelian groups
• No interesting sequential groups
• Minimal topological groups
• Compact-Like Totally Dense Subgroups of Compact Groups
• On Countably Compact, Perfectly Normal Spaces
• On Compact Hausdorff Spaces of Countable Tightness
• On Lie groups in varieties of topological groups
• Set Theory
• Metrization criteria for compact groups in terms of their dense subgroups
• Countably compact groups without non-trivial convergent sequences
• Weight of closed subsets topologically generating a compact group
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