Double categorical model of $(\infty,1)$-categories

Building on work by Fiore-Pronk-Paoli, we construct four model structures on the category of double categories, each modeling one of the following: simplicial spaces, Segal spaces, $(\infty,1)$-categories, and $\infty$-groupoids. Additionally, we provide an explicit formula for computing homotopy co...

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Hauptverfasser:	Guetta, Léonard, Moser, Lyne
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Topology Mathematics - Category Theory
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