Dold–Kan correspondence
id:
dold-kan-correspondence-161-12107078
title:
Dold–Kan correspondence
text:
In mathematics, more precisely, in the theory of simplicial sets, the Dold–Kan correspondence states that there is an equivalence between the category of chain complexes and the category of simplicial abelian groups. Moreover, under the equivalence, the n th homology group of a chain complex is the n th homotopy group of the corresponding simplicial abelian group, and a chain homotopy corresponds to a simplicial homotopy. The correspondence is an example of the nerve and realization paradigm. Th
brand slug:
wiki
category slug:
encyclopedia
description:
Equivalence between the categories of chain complexes and simplicial abelian groups
original url:
https://en.wikipedia.org/wiki/Dold%E2%80%93Kan_correspondence
date created:
2013-05-19T23:47:46Z
date modified:
2024-08-27T14:17:59Z
main entity:
{"identifier":"Q16962174","url":"https://www.wikidata.org/entity/Q16962174"}
image:
fields total:
13
integrity:
15