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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 $\omega$-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 $\omega$-categories? Is there a canonical model structure on Batanin $\omega$-categories such that the weak $\omega$-functors represent the correct derived hom-space?

• CommentRowNumber3.
• CommentAuthorMike Shulman
• CommentTimeNov 13th 2012

AFAIK that is not known.