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Comparison of models for (∞,n) ‐categories, II

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In this paper we complete a chain of explicit Quillen equivalences between the model category for Θn+1 ‐spaces and the model category of small categories enriched in Θn ‐spaces. The… Click to show full abstract

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

Keywords: comparison models; models categories; topology

Journal Title: Journal of Topology
Year Published: 2020

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