Christoph Winges

collaborators

4 papers

math.AT2026

The presentable stable envelope of an exact category

Marius Nielsen, Christoph Winges

We prove an analogue of the Gabriel--Quillen embedding theorem for exact $\infty$ -categories, giving rise to a presentable version of Klemenc's stable envelope of an exact $\infty$ …

math.KT2025

On exact categories and their stable envelopes

Victor Saunier, Christoph Winges

We show that Klemenc's stable envelope of exact $\infty$ -categories induces an equivalence between stable $\infty$ -categories with a bounded heart structure and weakly idempotent c…

math.KT2025

Localisation theorems for the connective K-theory of exact categories

Christoph Winges

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, Qui…

math.KT2025

Every motive is the motive of a stable $\infty$ -category

Maxime Ramzi, Vladimir Sosnilo, Christoph Winges

We define a class of motivic equivalences of small stable $\infty$ -categories $W_{mot}$ and show that the Dwyer--Kan localization functor $\mathrm{Cat}^{\mathrm{perf}}_\in…

The presentable stable envelope of an exact category

On exact categories and their stable envelopes

Localisation theorems for the connective K-theory of exact categories

Every motive is the motive of a stable ∞-category

Every motive is the motive of a stable $\infty$ -category