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T-model structures | | Halvard Fausk
; Daniel C. Isaksen
; | | Date: |
2 Nov 2005 | | Subject: | Algebraic Topology | | 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. | | Source: | arXiv, math/0511056 | | Services: | Forum | Review | PDF | Favorites | |
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