Abstract Julie Bergner

Abstract: In joint work with C. Rezk, we give a chain of Quillen equivalences of model categories between Rezk's $\Theta_n$-spaces and categories enriched in $\Theta_{n-1}$-spaces.  One of the intermediate models is given by complete Segal objects in $\Theta_{n-1}$-spaces, and its properties are surprisingly subtle.  We'll look at these objects, their model structure, and the comparisons to both $\Theta_n$-spaces and Segal category objects in $\Theta_{n-1}$-spaces.

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