Spaces from pieces. IV
type: Item
instance of: scholarly article
title: Spaces from pieces. IV
zbMATH Open document ID: 0816.54011
DOI: 10.1007/BF01875852
published in: Periodica Mathematica Hungarica
publication date: 1995-07-19T00:00:00Z
review text: In categories that are topological over sets with respect to injections, the property is considered whether there exists a structure \(s\) on \(X\) such that its restrictions to some subsets \(X_ i \subset X\) induce given structures \(s_ i\) on \(X_ i\). In the first part, some general conditions are found for categories to have the described property. The remaining parts apply a general situation to about 32 structures, like generalized closure spaces, proximities and uniformities.
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 54B05
Mathematics Subject Classification ID: 54D35
Mathematics Subject Classification ID: 54D15
Mathematics Subject Classification ID: 54E17
Mathematics Subject Classification ID: 54E99
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 54G20
zbMATH DE Number: 737234
zbMATH Keywords: topological category
zbMATH Keywords: generation by subspaces
author: J. Deak
reviewed by: M. Hušek
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 737234