English

A homotopy theory for enrichment in simplicial modules

Category Theory 2007-12-11 v1

Abstract

We put a Quillen model structure on the category of small categories enriched in simplicial kk-modules and non-negatively graded chain complexes of kk-modules, where kk is a commutative ring. The model structure is obtained by transfer from the model structure on simplicial categories due to J. Bergner.

Keywords

Cite

@article{arxiv.0712.1319,
  title  = {A homotopy theory for enrichment in simplicial modules},
  author = {Alexandru E. Stanculescu},
  journal= {arXiv preprint arXiv:0712.1319},
  year   = {2007}
}

Comments

6 pages, comments are welcome

R2 v1 2026-06-21T09:52:05.436Z