\(T_i\)-spaces. I
type: Item
instance of: scholarly article
title: \(T_i\)-spaces. I
zbMATH Open document ID: 1061.54005
author: Fatma Bayoumi
author: Ismail Ibedou
published in: Journal of the Egyptian Mathematical Society
publication date: 2004-06-18T00:00:00Z
review text: For an \(L\)-topological space \((X, \tau)\) and \(x\in X\), the mapping \({\mathcal N}(x): L^X\rightarrow L\) defined by \({\mathcal N}(x)(f)=int_{\tau}f(x)\) is called the fuzzy neighborhood filter at \(x\). By means of this concept, the authors introduce \(T_0\)-axioms, \(T_1\)-axioms and \(T_2\)-axioms in \(L\)-topological spaces where \(L\) is a complete chain. These separation axioms are good extensions in Lowen's sense. Moreover, the \(T_i\)-axiom implies the \(T_{i-1}\)-axiom for \(i=1,2\).
reviewed by: Fu-Gui Shi
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54D10
zbMATH DE Number: 2076138
zbMATH Keywords: \(L\)-topology
zbMATH Keywords: fuzzy filter
zbMATH Keywords: fuzzy neighborhood filter
zbMATH Keywords: \(T_0\)-axiom
zbMATH Keywords: \(T_1\)-axiom
zbMATH Keywords: \(T_2\)-axiom
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2076138