论文标题

球状和复杂方法之间的quillen相互作用$(\ infty,n)$ - 类别

A Quillen adjunction between globular and complicial approaches to $(\infty,n)$-categories

论文作者

Ozornova, Viktoriya, Rovelli, Martina

论文摘要

我们证明了悬架结构与$ω$分类的简便神经之间的兼容性。作为一个激励性的应用程序,我们在Rezk完整的segal $θ_n$ - 空格和Verity的$ n $ complicial Sets中给出的$(\ infty,n)$类别的型号之间生产了一对。

We prove the compatibility between the suspension construction and the complicial nerve of $ω$-categories. As a motivating application, we produce a Quillen pair between the models of $(\infty,n)$-categories given by Rezk's complete Segal $Θ_n$-spaces and Verity's $n$-complicial sets.

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