Countably compact groups satisfying the open mapping theorem

DOI10.1016/S0166-8641(99)00047-4zbMath0970.54034OpenAlexW2051050014MaRDI QIDQ1807573

Dikran Dikranjan

Publication date: 16 October 2001

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00047-4

zbMATH Keywords

measurable cardinalcompact groupsconnected groupstotally disconnected groupsprecompact groupspseudocompact groupscountably compact groups\(\omega\)-bounded groupstotally minimal groupszero-dimensional groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Categorical methods in general topology (54B30) Consistency and independence results in general topology (54A35) General properties and structure of LCA groups (22B05) Topological fields, rings, etc. (topological aspects) (54H13)

Related Items (14)

Quotients of locally minimal groups ⋮ Zariski topology and Markov topology on groups ⋮ Products of locally minimal groups ⋮ Locally compact groups and locally minimal group topologies ⋮ Countably compact groups without non-trivial convergent sequences ⋮ Characterizing Lie groups by controlling their zero-dimensional subgroups ⋮ w-divisible groups ⋮ Sequentially complete groups: Dimension and minimality ⋮ Countable compactness and finite powers of topological groups without convergent sequences ⋮ Closure operators in topological groups related to von Neumann's kernel ⋮ Locally minimal topological groups. I ⋮ Pseudocompact totally dense subgroups ⋮ Cardinal invariants and convergence properties of locally minimal groups ⋮ Recent advances in minimal topological groups

This page was built for publication: Countably compact groups satisfying the open mapping theorem