Date: Wed, 03 Nov 1999 10:23:40 -0500
From: "Steven R. Costenoble" <matsrc@Mail1.Hofstra.edu>
Subject: categories: Cat as a model category

Here's a question I've already asked on the algebraic topology mailing
list. I received several very interesting replies, but there seems to be
little published and I'm curious what else is out there:

I have Thomason's 1980 paper "Cat as a closed model category." Are
there any other references for model category structures on Cat, the
category of small categories?

--Steve Costenoble
  matsrc@hofstra.edu
  Dept. of Mathematics
  Hofstra University
  Hempstead, NY 11549


From: "Marta Bunge" <martabunge@hotmail.com>
Subject: categories: Re: Cat as a model category
Date: Wed, 03 Nov 1999 16:43:12 EST

The McGill Ph.D. thesis of my student, Murray Heggie, deals with closed 
model structures in Cat and in presheaf toposes. Its contents have been 
published in three papers in the Cahiers.

•	M. Heggie, "The left derived tensor product of CAT-valued
diagrams", Cahiers de Top. et Geo. Diff. Cat.
     XXXIII-1 (1992) 33-53.
•	M. Heggie, "Homotopy Cofibrations in CAT", Cahiers de Top.
et Geo. Diff. Cat., Vol.XXXIII-4, (1992), 291-314.
•	M. Heggie, "Homotopy Colimits in presheaf categories",
Cahiers de Top. et Geo. Diff. Cat., Vol.XXXIV-1, (1993), 13-36.

Sincerely,
Marta Bunge