Subject: differential graded coalgebras over Z
From: "John R. Klein" <nielkj@gmail.com>
Date: Mon, 27 Nov 2006 11:48:08 -0500

Yet another pair of questions for the list:

Consider

1) the category of  differential graded coalgebras (dgca).

2) For fixed dgca C, the category of its dg-comodules.

Question A: Using quasi-isomorphism for "weak equivalence"
Is it known whether (1) and (2)  admit Quillen model structures ?

3) Assuming (1) and (2) admit such a structure, consider the category
of "spectra" formed
from from objects of (1).

Question B: Is the homotopy category of these spectra equivalent to the 
homotopy
category of (2)?

jk
John R. Klein, Professor
Department of Mathematics
Wayne State University
Room 1213 FAB, 656 W. Kirby
voice:  (313) 577-3174
fax: (313) 577-7596