Title: T-model structures
Authors: Halvard Fausk and Daniel C. Isaksen
E-mail: fausk@math.uio.no, isaksen@math.wayne.edu
Address:
Department of Mathematics, University of Oslo,
1053 Blindern, 0316 Oslo, Norway;
Department of Mathematics, Wayne State University, Detroit, MI 48202, USA
Included postscript: none
AMS Classification: Primary 55P42; Secondary 18E30, 55U35
Abstract:
For every stable model category $\mathcal{M}$ with a certain extra
structure, we produce an associated model structure on the
pro-category pro-$\mathcal{M}$ and a spectral sequence, analogous to
the Atiyah-Hirzebruch spectral sequence, with reasonably good
convergence properties for computing in the homotopy category
of pro-$\mathcal{M}$. Our motivating example is the category of
pro-spectra.
The extra structure referred to above is a t-model structure.
This is a rigidification of the usual notion of a t-structure
on a triangulated category. A t-model structure is a proper
simplicial stable model category $\mathcal{M}$ with a t-structure on
its homotopy category together with an additional
factorization axiom.