Martin's axiom and pathological points in \(\beta\) X\(\backslash X\)
type: Item
instance of: scholarly article
title: Martin's axiom and pathological points in \(\beta\) X\(\backslash X\)
zbMATH Open document ID: 0708.54018
DOI: 10.1016/0166-8641(90)90086-H
author: Eric K. van Douwen
published in: Topology and its Applications
publication date: 1990-01-01T00:00:00Z
review text: This is a printed version of a paper of late Eric van Douwen. The paper itself has been around for about fifteen years. It had sparked and influenced throughout an intensive research on many topics. The author is mainly concerned with the existence of some points in the remainders of the Čech-Stone compactification of N-like spaces. Those points include remote points, \(P_{\kappa}\)-points, \(\kappa\)-points. His constructions use often P(\({\mathfrak c})\) (or MA(\(\sigma\)-centred) as is known nowadays) for N-like spaces with countable \(\pi\)-weight, and CH for separable N-like spaces. Some results, especially those concerning remote points, have been reproven later in ZFC alone. More detailed account is given in notes by the editor.
Mathematics Subject Classification ID: 54D35
Mathematics Subject Classification ID: 54D40
zbMATH DE Number: 4163704
zbMATH Keywords: Martin's axiom
zbMATH Keywords: Čech-Stone compactification
zbMATH Keywords: remote points
zbMATH Keywords: MA
zbMATH Keywords: N- like spaces with countable \(\pi \) -weight
zbMATH Keywords: CH
reviewed by: A. Szymański
MaRDI profile type: Publication
Wikidata QID: Q114684103
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description: scientific article; zbMATH DE number 4163704