Initial topology
id:
initial-topology-183-3199718
title:
Initial topology
text:
In general topology and related areas of mathematics, the initial topology on a set X, with respect to a family of functions on X, is the coarsest topology on X that makes those functions continuous. The subspace topology and product topology constructions are both special cases of initial topologies. Indeed, the initial topology construction can be viewed as a generalization of these. The dual notion is the final topology, which for a given family of functions mapping to a set Y is the finest t
brand slug:
wiki
category slug:
encyclopedia
description:
Coarsest topology making certain functions continuous
original url:
https://en.wikipedia.org/wiki/Initial_topology
date created:
2004-11-22T09:24:13Z
date modified:
2024-09-06T18:08:20Z
main entity:
{"identifier":"Q13416298","url":"https://www.wikidata.org/entity/Q13416298"}
image:
fields total:
13
integrity:
15