Re: bicategory of fractions and homotopy category

28 Jan 2009

      Dear David,

I have written about this sort of thing in the paper

Homotopy-theoretic aspects of 2-monads, Journal of Homotopy and Related
Structures 2:229-260, 2007; also arXiv:math.CT/0607646.

Regards,

Steve Lack.

On 27/01/09 5:01 PM, "David Roberts" <droberts@maths.adelaide.edu.au> wrote:
...
Hi all,
has anyone come across this situation? I have a 2-category where the
underlying category has a model structure, and the class of equivalences
(from the 2-cat structure) is contained in the weak equivalences. The
class
of weak equivalences admits a bicategory of fractions, and so one can
consider that bicategory as the homotopy 'category' in some sense.
Cheers,
David Roberts