On zero-dimensionality and the connected component of locally pseudocompact groups

DOI10.1090/S0002-9939-2011-10626-9zbMath1227.22004arXiv0909.1390MaRDI QIDQ3020387

Dikran Dikranjan, Gábor Lukács

Publication date: 4 August 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1390

zbMATH Keywords

zero-dimensionalconnected componentpseudocompact grouptotally minimal grouplocally pseudocompact grouphereditarily disconnected

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Connected and locally connected spaces (general aspects) (54D05) General properties and structure of locally compact groups (22D05)

Related Items (5)

The gentle, generous giant tampering with dense subgroups of topological groups ⋮ Non-abelian pseudocompact groups ⋮ On the quasi-component of pseudocompact abelian groups ⋮ Characterizing sequences for precompact group topologies ⋮ Pseudocompact Topological Groups

Cites Work

• Sections in principal fibre spaces
• Eine Bemerkung über die zentralen Untergruppen in zusammenhängenden topologischen Gruppen
• Concerning connected, pseudocompact Abelian groups
• On the existence of free topological groups
• Compactness and connectedness in topological groups
• Extremal pseudocompact topological groups
• Locally pseudocompact topological groups
• Topological groups with thin generating sets
• Minimal topological algebras
• Closure operators in topological groups related to von Neumann's kernel
• Minimal topological groups
• Pseudocompactness and uniform continuity in topological groups
• On some types of topological groups
• A generalization of a theorem of Gleason
• On the dimension of homogeneous spaces
• Locally precompact groups: (Local) realcompactness and connectedness
• The Weight of a Pseudocompact (Homogeneous) Space Whose Cardinality Has Countable Cofinality
• Zero-Dimensionality of Some Pseudocompact Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On zero-dimensionality and the connected component of locally pseudocompact groups