On exact categories and their stable envelopes

URN to cite this document:: urn:nbn:de:bvb:355-epub-781731
DOI to cite this document:: 10.5283/epub.78173

Saunier, Victor ; Winges, Christoph

License: Creative Commons Attribution 4.0
PDF - Published Version
(430kB)

Date of publication of this fulltext: 20 Nov 2025 05:32

Alternative links to fulltext:DOI Publisher

This publication is part of the DEAL contract with Springer.

Details

Preview

Export bibliographical data

Abstract

We show that Klemenc’s stable envelope of exact ∞-categories induces an equivalence between stable ∞-categories with a bounded heart structure and weakly idempotent complete exact ∞-categories. Moreover, we generalise the Gillet–Waldhausen theorem to the connective algebraic K-theory of exact ∞-categories and deduce a universal property of connective algebraic K-theory as an additive invariant on ...