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The Path Space Criterion for 2-Segal Spaces

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Higher Segal Spaces

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

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Abstract

The main result of this chapter is Theorem 6.3.2 which expresses the 2-Segal condition for a simplicial object X in terms of 1-Segal conditions for simplicial analogs of the path space of X, as defined by Illusie.

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References

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Dyckerhoff, T., Kapranov, M. (2019). The Path Space Criterion for 2-Segal Spaces. In: Higher Segal Spaces. Lecture Notes in Mathematics, vol 2244. Springer, Cham. https://doi.org/10.1007/978-3-030-27124-4_6

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