Remainders in compactifications and generalized metrizability properties

DOI10.1016/j.topol.2004.10.015zbMath1075.54012OpenAlexW2093308740MaRDI QIDQ1779513

Alexander V. Arhangel'skii

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.topol.2004.10.015

zbMATH Keywords

topological group\(G_\delta\)-diagonalLindelöf \(p\)-space\(p\)-space

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Subspaces in general topology (54B05) Remainders in general topology (54D40)

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Cites Work

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• Some properties of compactifications
• Some generalizations of metric spaces
• Souslin property in free topological groups on bicompacta
• Some connections between properties of topological groups and their remainders
• Cardinal Invariants in Remainders and Variations of Tightness
• Σ-spaces
• On a class of spaces containing all metric spaces and all locally bicompact spaces