A categorified Dold-Kan correspondence

• Tobias Dyckerhoff ^[1]
  1. [1] University of Hamburg

     University of Hamburg

     Hamburg, Freie und Hansestadt, Alemania

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 2, 2021
• Idioma: inglés
• DOI: 10.1007/s00029-021-00618-5
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• Resumen

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