Geodesic
$t$-model structures
Homology, homotopy, and applications, Tome 9 (2007) no. 1, pp. 399-438.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2007.v9.n1.a16
Classification : 18E30, 55P42, 55U35
Keywords: model category, pro-category, $t$-structure 
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Halvard Fausk; Daniel C. Isaksen. $t$-model structures. Homology, homotopy, and applications, Tome 9 (2007) no. 1, pp. 399-438. doi : 10.4310/HHA.2007.v9.n1.a16. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n1.a16/

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