On paracompact \(G_\delta\)-subspaces of pseudocompact spaces
type: Item
instance of: scholarly article
title: On paracompact \(G_\delta\)-subspaces of pseudocompact spaces
zbMATH Open document ID: 1302.54057
author: Mitrofan M. Choban
published in: Topology and its Applications
publication date: 2014-10-24T00:00:00Z
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54E18
Mathematics Subject Classification ID: 54G20
zbMATH DE Number: 6361139
zbMATH Keywords: pseudocompact
zbMATH Keywords: paracompact \(p\)-space
zbMATH Keywords: \(G_\delta\)-set
zbMATH Keywords: Čech-complete
reviewed by: K. P. Hart
MaRDI profile type: Publication
full work available at URL: j.topol.2014.08.016
OpenAlex ID: W1996276531
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DOI: 10.1016/J.TOPOL.2014.08.016
review text: What can be said of a paracompact space if it is assumed to be a \(G_\delta\)-subset of a pseudocompact space?NEWLINENEWLINE From the results that the author proves we quote: (1) the space is Čech-complete iff it is a \(p\)-space; (2) if the Čech-Stone compactification of the pseudocompact is dyadic then the paracompact space is Lindelöf and Čech-complete; and (3) there is pseudo-\(\omega\)-compact space with a hereditarily paracompact zero-set subspace that is not a \(p\)-space.
description: scientific article; zbMATH DE number 6361139