Every scattered space is subcompact

DOI10.1016/j.topol.2013.04.026zbMath1285.54028OpenAlexW2034215886MaRDI QIDQ390392

Lynne Yengulalp, Vladimir V. Tkachuk, William G. Fleissner

Publication date: 8 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.04.026

zbMATH Keywords

scattered spacelinearly ordered spaceCantor cubes\(\omega\)-monolithic spacesfinite unionssubcompact space

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Scattered spaces (54G12) Embedding (54C25)

Related Items (9)

The Baire property on the hyperspace of nontrivial convergent sequences ⋮ Mary Ellen Rudin and monotone normality ⋮ From subcompact to domain representable ⋮ Unnamed Item ⋮ Every monotonically normal Čech-complete space is subcompact ⋮ Unnamed Item ⋮ Basic properties of 𝑋 for which the space 𝐶_{𝑝}(𝑋) is distinguished ⋮ Unnamed Item ⋮ Every \(k\)-separable Čech-complete space is subcompact

Cites Work

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• Subcompactness and domain representability in GO-spaces on sets of real numbers
• Cartesian products of Baire spaces
• Sur les espaces complets séparables de dimension 0

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