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math.AT2024
Double categorical model of -categories
Léonard Guetta, Lyne Moser
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,…
math.AT2024
Modeling -categories with Segal spaces
Lyne Moser, Joost Nuiten
In this paper, we construct a model structure for -categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show t…
math.AT2024
-Limits II: Comparison across models
Lyne Moser, Martina Rovelli, Nima Rasekh
We show that the notion of -limit defined using the enriched approach and the one defined using the internal approach coincide. We also give explicit constructions of v…