Pseudocompact Whyburn spaces need not be Fréchet

DOI10.1090/S0002-9939-02-06840-5zbMath1028.54004OpenAlexW1523471534MaRDI QIDQ4417222

Jan Pelant, Richard G. Wilson, Mikhail G. Tkachenko, Vladimir V. Tkachuk

Publication date: 28 July 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06840-5

zbMATH Keywords

scattered spacelinearly ordered spacecountably compact spacepseudocompact spaceWhyburn spaceLindelöf \(P\)-spaceweakly Whyburn spaceAP-spaceWAP-spaceWhyburn closed

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Counterexamples in general topology (54G20) Scattered spaces (54G12) Fairly general properties of topological spaces (54D99) (P)-spaces (54G10)

Related Items (7)

Some notes on weakly Whyburn spaces ⋮ Structural and numerical studies of some topological properties for Alexandroff spaces ⋮ On some topological properties in the class of Alexandroff spaces ⋮ Spaces which are generated by discrete sets. ⋮ Variations of selective separability II: Discrete sets and the influence of convergence and maximality ⋮ On (weakly) Whyburn spaces ⋮ Pseudoradial vs strongly pseudoradial

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