Cauchy space
id:
cauchy-space-240-3778806
title:
Cauchy space
text:
In general topology and analysis, a Cauchy space is a generalization of metric spaces and uniform spaces for which the notion of Cauchy convergence still makes sense. Cauchy spaces were introduced by H. H. Keller in 1968, as an axiomatic tool derived from the idea of a Cauchy filter, in order to study completeness in topological spaces. The category of Cauchy spaces and Cauchy continuous maps is Cartesian closed, and contains the category of proximity spaces.
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in general topology and analysis
original url:
https://en.wikipedia.org/wiki/Cauchy_space
date created:
date modified:
2023-04-26T12:58:05Z
main entity:
{"identifier":"Q5054344","url":"https://www.wikidata.org/entity/Q5054344"}
image:
fields total:
13
integrity:
14