The normality of \(\Sigma\)-products and the perfect \(\kappa\)-normality of Cartesian products

DOI10.2969/jmsj/03640689zbMath0556.54007OpenAlexW2024017123MaRDI QIDQ760931

Yukinobu Yajima

Publication date: 1984

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

Full work available at URL: https://doi.org/10.2969/jmsj/03640689

zbMATH Keywords

Cartesian productcountable tightness\(\Sigma \) - productcollectionwise normalitycountable paracompactness of \(\Sigma \) -productsparacompact \(\sigma \) -spacesparacompact \(\Sigma \) -spacesperfectly \(\kappa \) -normal space

Mathematics Subject Classification ID

(p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) 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)

Related Items (10)

On \(\Sigma\)-products of semi-stratifiable spaces ⋮ Metrizability of General ANR ⋮ \(C^\ast\) -, \(C\)- and \(P\)-embedded subsets in products and the undecidability of a certain property on \(\mathbb{N}^{\omega_1} \) ⋮ Some nonnormal \(\Sigma\)-products ⋮ M-embedded subspaces of certain product spaces ⋮ Non-\((\omega{},\omega{}_ 1)\)-regular ultrafilters and perfect \(k\)- normality of product spaces ⋮ Topological groups and \(C\)-embeddings ⋮ Equalities for the extent of infinite products and \(\varSigma\)-products ⋮ Diagonal structures on topological spaces ⋮ On power homogeneous spaces

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