Remainders of normal spaces
type: Item
instance of: scholarly article
title: Remainders of normal spaces
zbMATH Open document ID: 0787.54027
DOI: 10.1016/0166-8641(93)90042-C
author: William Fleissner
author: Ronnie Levy
author: John Kulesza
published in: Topology and its Applications
publication date: 1993-12-06T00:00:00Z
review text: The following results are obtained: (1) if \(X\) is locally compact, then \(X\) is the Stone-Čech remainder of a normal space; (2) if \(X\) is first countable and the Stone-Čech remainder of a normal space, then \(X\) is locally compact, (3) if \(X\) is of countable type (\(\equiv\beta X\setminus X\) is a Lindelöf space) then \(X\) is the remainder of a normal space. It is shown that the behaviour of countable spaces which are locally compact except at one point, in context of being normal remainders, is as various as that of arbitrary spaces. It is investigated the property that all normal images are compact.
Mathematics Subject Classification ID: 54D40
Mathematics Subject Classification ID: 54D15
zbMATH DE Number: 425567
zbMATH Keywords: locally compact space
zbMATH Keywords: Stone-Čech remainder
zbMATH Keywords: countable type
zbMATH Keywords: normal space
zbMATH Keywords: countable spaces
MaRDI profile type: Publication
cites work: Q5327711
cites work: Q3994935
cites work: Cofinality in Normal Almost Compact Spaces
cites work: There are Many Ostaszewski Spaces
cites work: Some set-theoretic constructions in topology
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description: scientific article; zbMATH DE number 425567