Brown's representability theorem
id:
brown-s-representability-theorem-193-16465446
title:
Brown's representability theorem
text:
In mathematics, Brown's representability theorem in homotopy theory gives necessary and sufficient conditions for a contravariant functor F on the homotopy category Hotc of pointed connected CW complexes, to the category of sets Set, to be a representable functor. More specifically, we are given and there are certain obviously necessary conditions for F to be of type Hom(—, C), with C a pointed connected CW-complex that can be deduced from category theory alone. The statement of the substantive
brand slug:
wiki
category slug:
encyclopedia
description:
On representability of a contravariant functor on the category of connected CW complexes
original url:
https://en.wikipedia.org/wiki/Brown%27s_representability_theorem
date created:
date modified:
2024-02-11T07:32:53Z
main entity:
{"identifier":"Q4975963","url":"https://www.wikidata.org/entity/Q4975963"}
image:
fields total:
13
integrity:
14