Simplicial homotopy in semi-abelian categories

Details Simplicial homotopy in semi-abelian categories Simplicial homotopy in semi-abelian categories

2006-07-04

arxiv.org/abs/math/0607076v1

J. K-Theory 4 (2009), no. 2, 379-390

Mathematics

K-Theory and Homology

12 pages

Scientific paper

10.1017/is008008022jkt070

We study Quillen's model category structure for homotopy of simplicial objects in the context of Janelidze, Marki and Tholen's semi-abelian categories. This model structure exists as soon as the base category A is regular Mal'tsev and has enough regular projectives; then the fibrations are the Kan fibrations of simplicial objects in A. When, moreover, A is semi-abelian, weak equivalences and homology isomorphisms coincide.

Affiliated with

Also associated with

No associations

Rating

Simplicial homotopy in semi-abelian categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Simplicial homotopy in semi-abelian categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simplicial homotopy in semi-abelian categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-240068