Cotriple homology
id:
cotriple-homology-287-14012211
title:
Cotriple homology
text:
In algebra, given a category C with a cotriple, the n-th cotriple homology of an object X in C with coefficients in a functor E is the n-th homotopy group of the E of the augmented simplicial object induced from X by the cotriple. The term "homology" is because in the abelian case, by the Dold–Kan correspondence, the homotopy groups are the homology of the corresponding chain complex. Example: Let N be a left module over a ring R and let E = − ⊗ R N . Let F be the left adjoint of the forgetful f
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in category theory
original url:
https://en.wikipedia.org/wiki/Cotriple_homology
date created:
date modified:
2024-03-05T07:42:48Z
main entity:
{"identifier":"Q16952100","url":"https://www.wikidata.org/entity/Q16952100"}
image:
fields total:
13
integrity:
14