Characterization of some peculiar topological spaces via \({\mathcal A}\)- and \({\mathcal B}\)-sets
type: Item
instance of: scholarly article
title: Characterization of some peculiar topological spaces via \({\mathcal A}\)- and \({\mathcal B}\)-sets
zbMATH Open document ID: 0841.54001
DOI: 10.1007/BF01874608
author: Julian Dontchev
published in: Acta Mathematica Hungarica
publication date: 1996-05-13T00:00:00Z
review text: A subset \(S\) of a topological space \(X\) is called an \(A\)-set (resp. a \(B\)-set) if \(S\) is the intersection of an open and a regular closed set (resp. the intersection of an open and a semi-closed set). In this paper the author provides characterizations of the classes of submaximal spaces, partition spaces, indiscrete spaces, discrete spaces and extremally disconnected spaces via \(A\)-sets and \(B\)-sets.
Mathematics Subject Classification ID: 54A05
zbMATH DE Number: 878087
zbMATH Keywords: \(A\)-sets
zbMATH Keywords: \(B\)-sets
zbMATH Keywords: submaximal spaces
zbMATH Keywords: partition spaces
zbMATH Keywords: indiscrete spaces
zbMATH Keywords: discrete spaces
zbMATH Keywords: extremally disconnected spaces
reviewed by: Maximilian Ganster
MaRDI profile type: Publication
cites work: Q3740617
cites work: Q4059596
cites work: A decomposition of continuity
cites work: Semi-Open Sets and Semi-Continuity in Topological Spaces
cites work: On ultrapseudocompact and related spaces
cites work: On decomposition of continuity in topological spaces
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description: scientific article; zbMATH DE number 878087