T-model structures

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dc.creatorFausk, Halvard
dc.creatorIsaksen, Daniel C.
dc.date2005-11-02
dc.date2006-10-25
dc.date.accessioned2026-07-07T06:50:41Z
dc.date.available2026-07-07T06:50:41Z
dc.descriptionFor 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.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/math/0511056
dc.identifierhttp://arxiv.org/abs/math/0511056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104742
dc.subjectAlgebraic Topology
dc.subject55P42 (Primary) 18E30, 55U35 (Secondary)
dc.titleT-model structures
dc.typetext

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