A study of cellular-Lindelöf spaces
type: Item
instance of: scholarly article
title: A study of cellular-Lindelöf spaces
zbMATH Open document ID: 1406.54014
author: Weifeng Xuan
author: Yan-Kui Song
published in: Topology and its Applications
publication date: 2018-11-29T00:00:00Z
review text: A space is cellular-Lindelöf if for every family of pairwise disjoint non-empty open subsets there is a Lindelöf subspace meeting each member of the family. Some preservation properties of cellular-Lindelöfness are presented. Conditions guaranteeing that cellular-Lindelöf spaces are Lindelöf, for example paracompact or monotonically normal \(W\)-spaces, are presented.
reviewed by: David B. Gauld
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54E20
Mathematics Subject Classification ID: 54F05
zbMATH DE Number: 6986548
zbMATH Keywords: cellular-Lindelöf
zbMATH Keywords: weakly Lindelöf
zbMATH Keywords: monotonically normal
zbMATH Keywords: extent
zbMATH Keywords: \(W\)-space
zbMATH Keywords: symmetry \(g\)-function
zbMATH Keywords: normal
zbMATH Keywords: cardinal
MaRDI profile type: Publication
full work available at URL: j.topol.2018.10.008
OpenAlex ID: W2899191874
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DOI: 10.1016/J.TOPOL.2018.10.008
description: scientific article; zbMATH DE number 6986548