Extremal α-pseudocompact abelian groups

DOI10.1515/FORUM.2009.032zbMath1173.22002arXiv0904.2659MaRDI QIDQ5191075

Anna Giordano Bruno

Publication date: 28 July 2009

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.2659

zbMATH Keywords

refinementcompact groupdense subgrouppseudocompact group\(\alpha\)-extremal\(\alpha\)-pseudocompact group\(\alpha\)-singular\(d_\alpha\)-extremal

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Compact groups (22C05) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) General properties and structure of LCA groups (22B05) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (2)

The gentle, generous giant tampering with dense subgroups of topological groups ⋮ Non-abelian pseudocompact groups

Cites Work

• Concerning connected, pseudocompact Abelian groups
• On \(C_ \alpha\)-compact subsets
• Extremal pseudocompact topological groups
• Pseudocompact groups: Progress and problems
• On the supremum of the pseudocompact group topologies
• w-divisible groups
• m-Pseudocompactness
• Proper Pseudocompact Extensions of Compact Abelian Group Topologies
• Pseudocompact topological group refinements of maximal weight
• Extremal pseudocompact Abelian groups are compact metrizable
• Pseudocompact totally dense subgroups
• Rings of Real-Valued Continuous Functions. I

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