English

Localisation theorems for the connective K-theory of exact categories

K-Theory and Homology 2025-10-09 v1 Algebraic Topology Category Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2510.07170,
  title  = {Localisation theorems for the connective K-theory of exact categories},
  author = {Christoph Winges},
  journal= {arXiv preprint arXiv:2510.07170},
  year   = {2025}
}

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42 pages