\(C\)-compactness modulo an ideal
type: Item
instance of: scholarly article
title: \(C\)-compactness modulo an ideal
zbMATH Open document ID: 1124.54007
DOI: 10.1155/IJMMS/2006/78135
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/53559
review text: Let \(J\) be an ideal in a topological space. The authors introduce the concepts of \(J\)-quasi-\(H\)-closedness (i.e., every open cover of \(X\) contains a finite subset \(\{u_1, \ldots, u_n\}\) such that \((X \backslash \text{cl}\bigcup_{i=1}n U_i) \in J)\)) and of \(J\)-\(C\)-compactness (i.e., roughly that each closed subspace of \(X\) is \(J\)-quasi-\(H\)-closed). They characterize these concepts and investigate their relations to each other and to the concept of \(J\)-compactness.
reviewed by: Horst Herrlich
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54D25
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 5164270
zbMATH Keywords: H-closed
zbMATH Keywords: compact
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5164270