Article Dans Une Revue Algebraic and Geometric Topology Année : 2025

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

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)

Identifiants

Citer

Yonatan Harpaz, Joost Nuiten, Matan Prasma. On k-invariants for $(\infty, n)$-categories. Algebraic and Geometric Topology, 2025, 25 (2), pp.721-790. ⟨10.2140/agt.2025.25.721⟩. ⟨hal-03052257⟩
151 Consultations
0 Téléchargements

Altmetric

Partager

  • More