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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 13th 2012

    I fixed some of the references at Batanin omega-category.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 13th 2012
    • (edited Nov 13th 2012)

    Here is a question:

    around corollary 9.4 of

    • Stephen Lack, A Quillen model structure for Gray-categories (arXiv:1001.2366)

    it is shown for the special case of Gray-categories that the weak ω\omega-functors of

    are actually the resolved morphisms with respect of a canonical model category structure, out of cofibrant resolutions into fibrant objects.

    Is an analog of this known for general Batanin ω\omega-categories? Is there a canonical model structure on Batanin ω\omega-categories such that the weak ω\omega-functors represent the correct derived hom-space?

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeNov 13th 2012

    AFAIK that is not known.

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