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Higher homotopy categories, higher derivators, and K-theory

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Raptis, George
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Date of publication of this fulltext: 16 Sep 2022 09:22


For every infinity-category C, there is a homotopy n-category h(n)C and a canonical functor gamma(n) : C -> h(n)C. We study these higher homotopy categories, especially in connection with the existence and preservation of (co)limits, by introducing a higher categorical notion of weak colimit. Using homotopy n-categories, we introduce the notion of an n-derivator and study the main examples ...


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