Ko Aoki

collaborators

3 papers

math.CT2025

Higher presentable categories and limits

Ko Aoki

Stefanich generalized the notion of (locally) presentable $(\infty, 1)$ -category to the notion of presentable $(\infty, n)$ -category. We give a new description based on the new not…

math.AG2025

Higher Zariski Geometry

Ko Aoki, Tobias Barthel, Anish Chedalavada +2

We revisit the classical constructions of tensor-triangular geometry in the setting of stably symmetric monoidal idempotent-complete $\infty$ -categories, henceforth referred to as…

math.CT2025

Very Schwartz coidempotents and continuous spectrum

Ko Aoki

We introduce the continuous version of the (unstable) smashing spectrum functor. In the stable case, it assigns to each dualizably symmetric monoidal stable presentable $\infty$ -ca…