Stone functor
id:
stone-functor-297-5713528
title:
Stone functor
text:
In mathematics, the Stone functor is a functor S: Topop → Bool, where Top is the category of topological spaces and Bool is the category of Boolean algebras and Boolean homomorphisms. It assigns to each topological space X the Boolean algebra S(X) of its clopen subsets, and to each morphism fop: X → Y in Topop (i.e., a continuous map f: Y → X) the homomorphism S(f): S(X) → S(Y) given by S(f)(Z) = f−1[Z].
brand slug:
wiki
category slug:
encyclopedia
description:
Functor in category theory
original url:
https://en.wikipedia.org/wiki/Stone_functor
date created:
date modified:
2024-03-04T19:15:24Z
main entity:
{"identifier":"Q7619065","url":"https://www.wikidata.org/entity/Q7619065"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/d2/Stone_functor.svg","width":390,"height":177}
fields total:
13
integrity:
15