A categorified Dold-Kan correspondence
In this work, we establish a categorification of the classical Dold-Kan
correspondence in the form of an equivalence between suitably defined
$\infty$-categories of simplicial stable $\infty$-categories and connective
chain complexes of stable $\infty$-categories. The result may be regarded as a
contribution to the foundations of an emerging subject that could be termed
categorified homological algebra.