Higher homotopy categories, higher derivators, and K-theory

URN to cite this document:: urn:nbn:de:bvb:355-epub-528784
DOI to cite this document:: 10.5283/epub.52878

Raptis, George

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Date of publication of this fulltext: 16 Sep 2022 09:22

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Abstract

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 ...