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arXiv · 1710.08356

A categorified Dold-Kan correspondence

Tobias Dyckerhoff
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Abstract

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.

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BibTeXRIS

Tobias Dyckerhoff. 2017-10-23. A categorified Dold-Kan correspondence. https://doi.org/10.1007/s00029-021-00618-5)

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