Comparison of two unified continuity approaches
type: Item
instance of: scholarly article
title: Comparison of two unified continuity approaches
zbMATH Open document ID: 1224.54036
author: A. Jankech
author: Milan Matejdes
published in: Acta Mathematica Hungarica
publication date: 2011-04-26T00:00:00Z
review text: The authors call a non-empty collection \(\varepsilon\) of non-empty subsets of a topological space \((X,\tau)\) a cluster system and define a set \(A(\subseteq X)\) to be \(\varepsilon\)-big at a point \(x \in X\) if, for any neighbourhood \(U\) of \(x\), the intersection \(A \cap U\) contains a member of \(\varepsilon\). Then, for a subset \(A\) of \(X\), the set \(\varepsilon_A = \{x \in X : A\;\text{is }\varepsilon\)-big at
Mathematics Subject Classification ID: 54C08
Mathematics Subject Classification ID: 54C05
zbMATH DE Number: 5881203
zbMATH Keywords: ideal topological space
zbMATH Keywords: decomposition theorem
zbMATH Keywords: generalized continuity
zbMATH Keywords: cluster system
MaRDI profile type: Publication
full work available at URL: s10474-010-9188-5
OpenAlex ID: W2030761626
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DOI: 10.1007/S10474-010-9188-5
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description: scientific article; zbMATH DE number 5881203