Category of A_infinity-categories
Category Theory
2008-02-17 v7 Quantum Algebra
Abstract
We define natural A_infinity-transformations and construct A_infinity-category of A_infinity-functors. The notion of non-strict units in an A_infinity-category is introduced. The 2-category of (unital) A_infinity-categories, (unital) functors and transformations is described.
Cite
@article{arxiv.math/0210047,
title = {Category of A_infinity-categories},
author = {Volodymyr Lyubashenko},
journal= {arXiv preprint arXiv:math/0210047},
year = {2008}
}
Comments
51 pages, LaTeX, uses Paul Taylor's diagrams.sty. It is the published text plus my comments in blue in the places that are hard to read: omissions, difficult proofs, ambiguities. An error is corrected in red