English

Unital ${A}_\infty$-categories

Category Theory 2008-02-21 v1

Abstract

We prove that three definitions of unitality for A-infinity-categories suggested by the first author, by Kontsevich and Soibelman, and by Fukaya are equivalent.

Cite

@article{arxiv.0802.2885,
  title  = {Unital ${A}_\infty$-categories},
  author = {Volodymyr Lyubashenko and Oleksandr Manzyuk},
  journal= {arXiv preprint arXiv:0802.2885},
  year   = {2008}
}

Comments

19 pages, LaTeX, close to published version

R2 v1 2026-06-21T10:14:15.581Z