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Classification diagrams of simplicial categories
Published 30 Jan 2024 in math.AT and math.CT | (2401.16855v1)
Abstract: We show that the classification diagram of a relative $\infty$-category arising from a relative simplicial category is equivalent to the levelwise nerve. Applications include the comparison of the diagonal of the levelwise nerve and the homotopy coherent nerve, and a result on the levelwise localizations of simplicial categories.
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