Certain sequences with compact closure

DOI10.1016/J.TOPOL.2008.12.016zbMath1169.54003OpenAlexW2016179054MaRDI QIDQ1013824

Yukinobu Yajima, Nobuyuki Kemoto

Publication date: 23 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.12.016

zbMATH Keywords

paracompactregularpseudocompactfeebly compact(perfectly, monotonically) normal(strong) \(\beta\)-space\(\beta\)-sequencecompact closurecountable closureTychonoff

Mathematics Subject Classification ID

Compactness (54D30) Topological spaces with richer structures (54E99) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Counterexamples in general topology (54G20)

Cites Work

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• Normal covers of infinite products and normality of \(\sigma\) -products
• Moore spaces and \(w\delta\)-spaces
• On Countably Compact, Perfectly Normal Spaces
• Countably Compact Spaces and Martin's Axiom
• Monotone normality

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