Simultaneous extensions of Cauchy structures
type: Item
instance of: scholarly article
title: Simultaneous extensions of Cauchy structures
zbMATH Open document ID: 0819.54012
DOI: 10.1007/BF01876038
author: Ákos Császár
published in: Acta Mathematica Hungarica
publication date: 1994-09-13T00:00:00Z
review text: Suppose \(X\) is a closure space and \(X_ i\) is a family of subsets of \(X\). Suppose that for each \(i\), there is a Cauchy structure \(S_ i\). The problem is to find necessary and/or sufficient conditions for the existence of a Cauchy structure \(S\) on \(X\) which induces the given closure and Cauchy structure \(S_ i\) on \(X_ i\). The paper contains several examples.
Mathematics Subject Classification ID: 54E05
Mathematics Subject Classification ID: 54C20
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54E17
zbMATH DE Number: 638222
zbMATH Keywords: extension
zbMATH Keywords: closure space
zbMATH Keywords: Cauchy structure
reviewed by: S. Naimpally
MaRDI profile type: Publication
cites work: Q3978803
cites work: Q4040688
description: scientific article; zbMATH DE number 638222