A quasitopos containing CONV and MET as full subcategories
type: Item
instance of: scholarly article
title: A quasitopos containing CONV and MET as full subcategories
zbMATH Open document ID: 0672.54003
DOI: 10.1155/S016117128800050X
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46372
review text: The category of convergence-approach spaces with contractions (CAP) is defined and shown to be a quasitopos. The authors determine the way in which several interesting categories related to convergence and distance are embedded in CAP. For example, the category of approach spaces with the contractions is a bireflective subcategory and the category of convergence spaces with continuous maps is a full subcategory.
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 18B25
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 4100138
zbMATH Keywords: limit
zbMATH Keywords: distance
zbMATH Keywords: cartesian closed category
zbMATH Keywords: category of convergence- approach spaces
zbMATH Keywords: quasitopos
zbMATH Keywords: approach spaces
zbMATH Keywords: bireflective subcategory
zbMATH Keywords: convergence spaces
author: Eva Colebunders
author: Robert Lowen
MaRDI profile type: Publication
Recommended article: Q3487612
Recommended article: Met-like categories amongst concrete topological categories
Recommended article: Q3973025
Recommended article: Quadratic functors and metastable homotopy
Recommended article: A characterization of the category \(Q\)-\(\mathbf{TOP}\)
Recommended article: A categorical quotient in the category of dense constructible subsets
Recommended article: The homological theory of quasi-resolving subcategories
Recommended article: Contravariantly finite subcategories and adjunctions
Recommended article: Prekernels of topologically axiomatized subcategories of concrete categories
Recommended article: Q3135146
description: scientific article; zbMATH DE number 4100138