Compactness and connectedness in topological groups

DOI10.1016/S0166-8641(97)00094-1zbMath0995.54036MaRDI QIDQ1295331

Dikran Dikranjan

Publication date: 21 October 2002

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

zbMATH Keywords

totally disconnected groupprecompact groupcountably compact grouppseudocompact groupzero-dimensional groupcomplete groupfunctorial subgrouphereditarily disconnected groupinitially \(\alpha\)-compact grouptotally minimal group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Topological groups (topological aspects) (54H11) Connected and locally connected spaces (general aspects) (54D05) Dimension theory in general topology (54F45)

Related Items (14)

On transversal group topologies ⋮ Dimension and entropy in compact topological groups ⋮ Zariski topology and Markov topology on groups ⋮ Counting compact group topologies ⋮ Torsion theories and radicals in normal categories ⋮ CLP-compactness for topological spaces and groups ⋮ Some aspects of dimension theory for topological groups ⋮ Abelian group theory in Italy. ⋮ The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups ⋮ On zero-dimensionality and the connected component of locally pseudocompact groups ⋮ Closure operators in topological groups related to von Neumann's kernel ⋮ On uniformly fully inert subgroups of abelian groups ⋮ Quotients of zero-dimensional precompact abelian groups ⋮ Uniform quasi components, thin spaces and compact separation

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