Strongly irresolvable spaces
type: Item
instance of: scholarly article
title: Strongly irresolvable spaces
zbMATH Open document ID: 1122.54002
DOI: 10.1155/IJMMS/2006/53653
author: N. E. Zubov
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2007-06-14T00:00:00Z
full work available at URL: https://eudml.org/doc/53509
review text: From the authors' abstract: A topological space is strongly irresolvable if no nonempty open subspace is resolvable [\textit{J. Foran} and \textit{P. Liebnitz}, Rend. Circ. Mat. Palermo, II. Ser. 40, No. 1, 36--141 (1991; Zbl 0725.54024)]. The authors give several characterizations of strong irresolvability, demonstrate the relationships between strong irresolvability, submaximality and hereditary irresolvability and show that strong irresolvability is a not finitely productive faint topological property, while neither submaximality nor hereditary irresolvability is semitopological.
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54A10
Mathematics Subject Classification ID: 54C10
Mathematics Subject Classification ID: 54G20
Mathematics Subject Classification ID: 54G05
zbMATH DE Number: 5164254
zbMATH Keywords: hereditarily irresolvable space
zbMATH Keywords: resolvable at a point
zbMATH Keywords: submaximal
zbMATH Keywords: crowed
zbMATH Keywords: homogeneous
zbMATH Keywords: extremally disconnected
zbMATH Keywords: almost open set
zbMATH Keywords: preopen set
zbMATH Keywords: locally dense set
zbMATH Keywords: semiopen
zbMATH Keywords: faintly open
reviewed by: Bernhard Behrens
MaRDI profile type: Publication
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OpenAlex ID: W2122880940
description: scientific article; zbMATH DE number 5164254