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Higher Segal spaces via higher excision (1906.10619v2)
Published 25 Jun 2019 in math.AT
Abstract: We show that the various higher Segal conditions of Dyckerhoff and Kapranov can all be characterized in purely categorical terms by higher excision conditions (in the spirit of Goodwillie-Weiss manifold calculus) on the simplex category $\Delta$ and the cyclic category $\Lambda$.
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