English

An introduction to model categories with examples

Category Theory 2022-10-11 v2 K-Theory and Homology Rings and Algebras

Abstract

We give an informal introduction to model categories, and treat three important examples in some details: the category of small categories, the category of dg algebras, and the category of small dg categories.

Cite

@article{arxiv.2209.09679,
  title  = {An introduction to model categories with examples},
  author = {Xiao-Wu Chen},
  journal= {arXiv preprint arXiv:2209.09679},
  year   = {2022}
}

Comments

The new Corollary 6.30 is added: the dg endomorphism algebra is a homotopy invariant

R2 v1 2026-06-28T01:44:07.109Z