Dévissage for Algebraic K-theory of Small Stable $\infty$-categories
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909053562650624 |
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| author | Wei, Chunhui |
| author_facet | Wei, Chunhui |
| contents | In this article, we extend the theorem of heart\cite{Barwick_2015}, which implies Quillen's dévissage theorem by \cite{Efimov2025}, to generic small stable $\infty$-categories. To be precise, we establish a necessary and sufficient condition under when an exact functor between stable $\infty$-categories induces isomorphisms of non-negative $K$-groups when this exact functor satisfies the dévissage condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14626 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dévissage for Algebraic K-theory of Small Stable $\infty$-categories Wei, Chunhui K-Theory and Homology Category Theory In this article, we extend the theorem of heart\cite{Barwick_2015}, which implies Quillen's dévissage theorem by \cite{Efimov2025}, to generic small stable $\infty$-categories. To be precise, we establish a necessary and sufficient condition under when an exact functor between stable $\infty$-categories induces isomorphisms of non-negative $K$-groups when this exact functor satisfies the dévissage condition. |
| title | Dévissage for Algebraic K-theory of Small Stable $\infty$-categories |
| topic | K-Theory and Homology Category Theory |
| url | https://arxiv.org/abs/2601.14626 |