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Hall (, 2)-Categories

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Higher Segal Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2244))

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Abstract

Let be a unital 2-Segal topological space with weakly contractible space of 0-simplices. Replacing X by a weakly equivalent simplicial space, we may assume that X is Reedy fibrant and satisfies \(X_0 = \operatorname {pt} \nolimits \). For example, the Waldhausen S-construction of an exact -category as defined in § 7.3 can be replaced by a weakly equivalent simplicial space satisfying these assumptions.

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References

  1. Lurie, J.: Derived algebraic geometry II: noncommutative algebra. ArXiv Mathematics e-prints (2007)

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  2. Lurie, J.: Higher Topos Theory. Annals of Mathematics Studies, vol. 170. Princeton University Press, Princeton (2009)

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  3. Lurie, J.: (Infinity,2)-categories and the goodwillie calculus I. ArXiv e-prints (2009)

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Dyckerhoff, T., Kapranov, M. (2019). Hall (, 2)-Categories. In: Higher Segal Spaces. Lecture Notes in Mathematics, vol 2244. Springer, Cham. https://doi.org/10.1007/978-3-030-27124-4_9

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