An operadic proof of Baez-Dolan stabilization hypothesis

TL;DR

This paper provides an operadic proof of the Baez-Dolan stabilization hypothesis, demonstrating a stabilization theorem for algebras of n-operads in monoidal model categories, impacting the understanding of weak n-categories.

Contribution

It offers a novel operadic proof of the stabilization hypothesis, extending the theoretical framework for n-operads and weak n-categories.

Findings

Proves a stabilization theorem for n-operad algebras

Implications for Rezk's weak n-categories

Establishes new stabilization results in the field

Abstract

We prove a stabilization theorem for algebras of n-operads in a monoidal model category. It implies a version of Baez-Dolan stabilization hypothesis for Rezk's weak n-categories and some other stabilization results.