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Pré-Publication, Document De Travail Année : 2020

On k-invariants for $(\infty, n)$-categories

Joost Nuiten
Matan Prasma
  • Fonction : Auteur

Résumé

Every $(\infty, n)$-category can be approximated by its tower of homotopy $(m, n)$-categories. In this paper, we prove that the successive stages of this tower are classified by k-invariants, analogously to the classical Postnikov tower for spaces. Our proof relies on an abstract analysis of Postnikov-type towers equipped with k-invariants, and also yields a construction of k-invariants for algebras over $\infty$-operads and enriched $\infty$-categories.

Dates et versions

hal-03052257 , version 1 (10-12-2020)

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Yonatan Harpaz, Joost Nuiten, Matan Prasma. On k-invariants for $(\infty, n)$-categories. 2020. ⟨hal-03052257⟩
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