On k-invariants for $(\infty, n)$-categories
Algebraic Topology
2025-05-21 v1 Category Theory
Abstract
Every -category can be approximated by its tower of homotopy -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 -operads and enriched -categories.
Cite
@article{arxiv.2011.12723,
title = {On k-invariants for $(\infty, n)$-categories},
author = {Yonatan Harpaz and Joost Nuiten and Matan Prasma},
journal= {arXiv preprint arXiv:2011.12723},
year = {2025}
}