Localisation theorems for the connective K-theory of exact categories
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916997354225664 |
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| author | Winges, Christoph |
| author_facet | Winges, Christoph |
| contents | We prove a localisation theorem for the K-theory of filtering subcategories of exact $\infty$-categories which subsumes the localisation theorem for stable $\infty$-categories, Quillen's localisation theorem for abelian categories, and Schlichting's localisation theorem for s-filtering subcategories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07170 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Localisation theorems for the connective K-theory of exact categories Winges, Christoph K-Theory and Homology Algebraic Topology Category Theory We prove a localisation theorem for the K-theory of filtering subcategories of exact $\infty$-categories which subsumes the localisation theorem for stable $\infty$-categories, Quillen's localisation theorem for abelian categories, and Schlichting's localisation theorem for s-filtering subcategories. |
| title | Localisation theorems for the connective K-theory of exact categories |
| topic | K-Theory and Homology Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2510.07170 |