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

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