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arXiv · 1409.8192

From fractions to complete Segal spaces

Zhen Lin Low·Aaron Mazel-Gee
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Abstract

We show that the Rezk classification diagram of a relative category admitting a homotopical version of the two-sided calculus of fractions is a Segal space up to Reedy-fibrant replacement. This generalizes the result of Rezk and Bergner on the classification diagram of a closed model category, as well as the result of Barwick and Kan on the classification diagram of a partial model category.

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Zhen Lin Low, Aaron Mazel-Gee. 2015-05-15. From fractions to complete Segal spaces. https://doi.org/10.4310/hha.2015.v17.n1.a16

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