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arXiv · 2405.03498

Cofinality Theorems of Infinity Categories and Algebraic K-Theory

Hisato Matsukawa
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Abstract

In this paper, we establish a theorem that proves a condition when an inclusion morphism between simplicial sets becomes a weak homotopy equivalence. Additionally, we present two applications of this result. The first application demonstrates that cofinal full inclusion functors of (\infty)-categories are weak homotopy equivalences. For our second application, we provide an alternative proof of Barwick's cofinality theorem of algebraic (K)-theory.

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Hisato Matsukawa. 2024-05-06. Cofinality Theorems of Infinity Categories and Algebraic K-Theory. https://arxiv.org/abs/2405.03498

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