Category of A_infinity-categories
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- October 2002
- DOI:
- arXiv:
- arXiv:math/0210047
- Bibcode:
- 2002math.....10047L
- Keywords:
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- Mathematics - Category Theory;
- Mathematics - Quantum Algebra
- E-Print:
- 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