When countably paracompact, locally compact, screenable spaces are paracompact
type: Item
instance of: scholarly article
title: When countably paracompact, locally compact, screenable spaces are paracompact
zbMATH Open document ID: 0625.54006
DOI: 10.1016/0166-8641(87)90047-2
author: Peg Daniels
published in: Topology and its Applications
publication date: 1987-01-01T00:00:00Z
review text: The paper is closely related with the open question due to Arkhangel'skij and Tall whether every normal, locally compact, metacompact space is paracompact. It is known that every normal, locally compact, screenable space is paracompact and, moreover, a countably paracompact, locally compact, screenable space is paracompact under the assumption \(V=L\). The aim of the author is to prove that one can replace the assumption V\(=L\) by R\(+MA_{\omega_ 1}\) in the above assertion, where both R and \(MA_{\omega_ 1}\) follow from Martin's maximum or some strengthening of the PFA.
Mathematics Subject Classification ID: 54A35
Mathematics Subject Classification ID: 54D20
zbMATH DE Number: 4015654
zbMATH Keywords: axiom R
zbMATH Keywords: countably paracompact, locally compact, screenable space
zbMATH Keywords: \(V=L\)
zbMATH Keywords: \(R+MA_{\omega _ 1}\)
zbMATH Keywords: PFA
reviewed by: Mikhail Tkachenko
MaRDI profile type: Publication
full work available at URL: 0166-8641(87)90047-2
OpenAlex ID: W2040585563
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description: scientific article; zbMATH DE number 4015654