Geodesic
From fractions to complete Segal spaces
Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 321-338.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2015.v17.n1.a16
Classification : 18G55, 18G30, 55U35
Keywords: homotopy theory, localization, closed model category, complete Segal space 
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Zhen Lin Low; Aaron Mazel-Gee. From fractions to complete Segal spaces. Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 321-338. doi : 10.4310/HHA.2015.v17.n1.a16. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n1.a16/

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