English

Towards an axiomatization of the theory of higher categories

Category Theory 2007-05-23 v2

Abstract

We define a notion of "theory of (1,infty)-categories", and we prove that such a theory is unique up to equivalence.

Keywords

Cite

@article{arxiv.math/0409598,
  title  = {Towards an axiomatization of the theory of higher categories},
  author = {B. Toen},
  journal= {arXiv preprint arXiv:math/0409598},
  year   = {2007}
}

Comments

25 pages, french. A gap in the proof of the main theorem is fixed (lemma 5.10). To appear in K-theory