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nLab > Latest Changes: (infinity,1)-operad

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 11th 2013

    have added to (infinity,1)-operad the basics for the “(∞,1)(\infty,1)-category of operators”-style definition

    • CommentRowNumber2.
    • CommentAuthorZhen Lin
    • CommentTimeApr 3rd 2013

    It seems that Heuts, Hinich, and Moerdijk have proved that Lurie’s ∞\infty-operads and “dendroidal” operads are Quillen equivalent. According to the talk, the equivalence goes via a model structure on the category of marked forestial sets.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 3rd 2013
    • (edited Apr 3rd 2013)

    Yes. Their Quillen equivalence functor is a bit less direct than the evident dendroidal nerve of Lurie operads that I once played with at (infinity,1)-operad.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJul 21st 2021

    added pointer to:

    diff, v42, current

  5. We know that all of the models are equivalent now

    Natalie Stewart

    diff, v44, current

  6. We (still) know that the models are equivalent

    Natalie Stewart

    diff, v44, current

  7. Adding a page on d-operads in the sense of Schlank-yanovski

    Natalie Stewart

    diff, v45, current

  8. everyone calls them ∞-operads (or just “operads,” but that’s a harder fight for sure)

    Natalie Stewart

    diff, v45, current

1 to 8 of 8

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