V. Sosnilo

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20242026

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math.KT2025

$c$ -structures and trace methods beyond connective rings

Ishan Levy, Vladimir Sosnilo

We introduce the notion of a $c$ -category, which is a kind of category whose behaviour is controlled by connective ring spectra. More precisely, any $c$ -category admits a finite st…

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…

c-structures and trace methods beyond connective rings

Every motive is the motive of a stable ∞-category

$c$ -structures and trace methods beyond connective rings

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