Comparison of models for (∞,n)(\infty, n)-categories, II

preprint2018arXivOpen access

Abstract

In this paper we complete a chain of explicit Quillen equivalences between the model category for Θn+1Θ_{n+1}-spaces and the model category of small categories enriched in ΘnΘ_n-spaces. The Quillen equivalences given here connect Segal category objects in ΘnΘ_n-spaces, complete Segal objects in ΘnΘ_n-spaces, and Θn+1Θ_{n+1}-spaces.

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