7 problems

Let $\mathbb D$ be a triangulated derivator, let $\mathbb E$ be a Verdier quotient of $\mathbb D$, and let $K$ denote derivator K-theory. A Verdier quotient is a triangulated local…

Let $\mathcal W$ be a saturated Waldhausen category satisfying the cylinder axiom, and let $\mathbb D_\mathcal W$ be the associated left pointed derivator. The comparison map … is…

Let $\mathsf{Gpd}_{\rm ana}$ and $\mathsf{S}_{\rm ana}$ denote the proposed left derivators of groupoids and infinity-groupoids with anafunctors. An ana-derivator is a derivator th…

Let $\mathsf{S}_{\rm ana}$ denote the proposed left derivator of “infinity-groupoids and anafunctors”, and let $\mathsf{Gpd}_{\rm ana}$ denote the corresponding groupoid-level deri…

Let $\bigl(\text{groupoids},\text{anafunctors}\bigr)$ denote the proposed left derivator whose objects are groupoids and whose morphisms are anafunctors. Let $\mathbb{Set}$,…

The paper considers an absolute free cocompletion of a point constructed from cubical sets, simplicial sets, or semisimplicial sets, together with three reflective localizations fo…

Maltsiniotis's conjectures. The $K$-theories of $\mathscr{E}$ and $D^b(\mathscr{E})$ regarded as a strongly triangulated category should agree, and the $K$-theory of $\mathbb{D}$ s…