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arXiv.org e-Print Archive
Preprint . 2002
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2002
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Category of A_infinity-categories

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2002Embargo end date: 01 Jan 2002Publisher:arXiv
Authors: Lyubashenko, Volodymyr;

doi: 10.48550/arxiv.math/0210047

arXiv: math/0210047

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.

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

Keywords

Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Mathematics - Category Theory, Category Theory (math.CT)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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