\(C^\ast\)-embedding implies \(P\)-embedding in products of ordinals

DOI10.1016/j.topol.2017.09.024zbMath1393.54009OpenAlexW2759003783MaRDI QIDQ2411468

Yasushi Hirata, Yukinobu Yajima

Publication date: 24 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.09.024

zbMATH Keywords

ordinalsubspaceproduct\(C\)-embedded\(\delta\)-normally separated\(P\)-embedded

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) (C)- and (C^*)-embedding (54C45) Ordinal and cardinal numbers (03E10)

Related Items (4)

\(C^\ast\)-embedding and \(P\)-embedding in subspaces of products of ordinals ⋮ Unnamed Item ⋮ A characterization of the countable paracompactness for products of ordinals ⋮ \(C^\ast\) -, \(C\)- and \(P\)-embedded subsets in products and the undecidability of a certain property on \(\mathbb{N}^{\omega_1} \)

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• On a theorem of Hanner
• C-embedding and the homotopy extension property
• Collectionwise normality and extensions of continuous functions
• Extension properties and the Niemytzki plane
• Countable Paracompactness and Weak Normality Properties

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