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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 5th 2019

    added publication data for

    diff, v33, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 13th 2020

    added pointer to today’s

    diff, v35, current

    • CommentRowNumber3.
    • CommentAuthorGuest
    • CommentTimeOct 8th 2022
    "If the composition in the linear A_\infty-category does happen to be strictly associative it becomes the same as a dg-category."
    Are you sure about this? For A_\infty algebras it's false. A good example is the cohomology of a space. This is strictly associative
    but inherits an A_\infty structure from the cochains via Kadeishvili's theorem, and it's usually not formal.
    Comment by Dave Benson, University of Aberdeen.
    • CommentRowNumber4.
    • CommentAuthorDmitri Pavlov
    • CommentTimeOct 8th 2022


    If higher coherences in a linear A A_\infty-category happen to be equal to identity morphisms (which is encoded by the vanishing of the maps m nm_n for n3n\ge3, defined below), it becomes the same as a dg-category.

    diff, v36, current

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeOct 18th 2022

    The pdf of Homotopy theory of homotopy algebras at the ex-page of Bruno Valette does not work as he changed the university since and there is a new page but with some book links not working. But the paper is available at regular sources so it is updated now

    diff, v37, current