Normality in k-and-\(\aleph\) spaces
type: Item
instance of: scholarly article
title: Normality in k-and-\(\aleph\) spaces
zbMATH Open document ID: 0602.54030
DOI: 10.1016/0166-8641(86)90022-2
author: L. Foged
published in: Topology and its Applications
publication date: 1986-01-01T00:00:00Z
review text: The author obtains several very interesting results concerning the topological properties of k-\(\aleph\)-spaces. Here are a few results: There is a non-normal g-metrizable (therefore, k-\(\aleph\)-) space. [MA\(+\neg CH\)]. There is a \(k\)-\(\aleph_ 0\)-space that is not monotonically normal. (The question remains if such a space exists under ZFC.) A k-\(\aleph\)-space with a \(\sigma\)-locally finite cover by compact sets is monotonically normal. A k-semistratifiable k-space with sequential order \(\alpha <\omega_ 1\) is stratifiable.
Mathematics Subject Classification ID: 54E20
Mathematics Subject Classification ID: 54D55
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 3971734
zbMATH Keywords: g-metrizable space
zbMATH Keywords: paracompactness
zbMATH Keywords: normality
zbMATH Keywords: networks
zbMATH Keywords: sequential order
zbMATH Keywords: k-\(\aleph \)-spaces
zbMATH Keywords: \(MA+\neg \,CH\)
reviewed by: Carlos R. Borges
MaRDI profile type: Publication
full work available at URL: 0166-8641(86)90022-2
OpenAlex ID: W1985302565
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description: scientific article; zbMATH DE number 3971734