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arXiv · 1406.4182

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

Julia E. Bergner·Charles Rezk
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Abstract

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.

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Julia E. Bergner, Charles Rezk. 2018-06-20. Comparison of models for $(\infty, n)$-categories, II. https://doi.org/10.1112/topo.12167

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