On the \(\gamma\)-interior and \(\gamma\)-closure of a set
type: Item
instance of: scholarly article
title: On the \(\gamma\)-interior and \(\gamma\)-closure of a set
zbMATH Open document ID: 0929.54001
DOI: 10.1023/A:1006572725660
author: Ákos Császár
published in: Acta Mathematica Hungarica
publication date: 1999-03-14T00:00:00Z
review text: Let \(X\) be a set and \(\gamma\), some monotone selfmap of \(\exp(X)\). Also, let \(i_{\gamma}\)(=the \(\gamma\)-interior) and \(c_{\gamma}\)(=the \(\gamma\)-closure) be the couple of monotone selfmaps of \(\exp(X)\) introduced as in [\textit{Á. Császár}, Acta Math. Hung. 75, No. 1-2, 65-87 (1997; Zbl 0924.54003)]. The aim of this note is to show that, under suitable conditions upon \(\gamma\), these associated maps can be obtained via explicit formulae.
reviewed by: Mihai Turinici
Mathematics Subject Classification ID: 54A05
zbMATH DE Number: 1261208
zbMATH Keywords: monotone selfmap
zbMATH Keywords: topological space
MaRDI profile type: Publication
full work available at URL: a:1006572725660
OpenAlex ID: W1806180173
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description: scientific article; zbMATH DE number 1261208