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A Quillen adjunction between globular and complicial approaches to $(\infty,n)$-categories
Published 6 Jun 2022 in math.AT and math.CT | (2206.02689v1)
Abstract: We prove the compatibility between the suspension construction and the complicial nerve of $\omega$-categories. As a motivating application, we produce a Quillen pair between the models of $(\infty,n)$-categories given by Rezk's complete Segal $\Theta_n$-spaces and Verity's $n$-complicial sets.
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