Displaying similar documents to “Stable homotopy as a triangulated functor.”

A classification of small homotopy functors from spectra to spectra

Boris Chorny (2016)

Fundamenta Mathematicae

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We show that every small homotopy functor from spectra to spectra is weakly equivalent to a filtered colimit of representable functors represented in cofibrant spectra. Moreover, we present this classification as a Quillen equivalence of the category of small functors from spectra to spectra equipped with the homotopy model structure and the opposite of the pro-category of spectra with the strict model structure.

Motivic functors.

Dundas, Bjørn Ian, Röndigs, Oliver, Østvær, Paul Arne (2003)

Documenta Mathematica

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Refining thick subcategory theorems

Sunil K. Chebolu (2006)

Fundamenta Mathematicae

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We use a K-theory recipe of Thomason to obtain classifications of triangulated subcategories via refining some standard thick subcategory theorems. We apply this recipe to the full subcategories of finite objects in the derived categories of rings and the stable homotopy category of spectra. This gives, in the derived categories, a complete classification of the triangulated subcategories of perfect complexes over some commutative rings. In the stable homotopy category of spectra we...