Products of (weakly) discretely generated spaces
type: Item
instance of: scholarly article
title: Products of (weakly) discretely generated spaces
zbMATH Open document ID: 1267.54025
published in: Topology and its Applications
publication date: 2013-02-27T00:00:00Z
review text: The authors study whether a product of (weakly) discretely generated spaces is (weakly) discretely generated, in order to go deeply into the problem of proving if some family of spaces has this property. For example, they solve the following open problems: a subspace of a countable product of monotonically normal spaces, respectively \(GO\)-spaces or regular \(l\)-nested spaces, is discretely generated. In addition, they prove that the product of an ordinal and a weakly discretely generated space is weakly discretely generated.
Mathematics Subject Classification ID: 54D99
Mathematics Subject Classification ID: 54B10
zbMATH DE Number: 6139370
zbMATH Keywords: discretely generated space
zbMATH Keywords: weakly discretely generated space
zbMATH Keywords: countable product
zbMATH Keywords: \(l\)-nested space
zbMATH Keywords: monotonically normal space
author: Ofelia T. Alas
author: Richard G. Wilson
MaRDI profile type: Publication
full work available at URL: j.topol.2013.01.003
OpenAlex ID: W2056575068
DOI: 10.1016/J.TOPOL.2013.01.003
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description: scientific article; zbMATH DE number 6139370