10 citations · 25 across the 19 of their papers we have counts for
19 papers
Double categorical equivalences
Lyne Moser, Maru Sarazola, Paula Verdugo
We present an efficient and user-friendly method for constructing any cofibrantly generated model structure on the category of double categories whose trivial fibrations are the "c…
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,…
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…
-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…
Yoneda lemma and representation theorem for double categories
Benedikt Fröhlich, Lyne Moser
We study (vertically) normal lax double functors valued in the weak double category of small categories, functors, profunctors and natural transformations,…
-Limits I: Definition and first consistency results
Lyne Moser, Nima Rasekh, Martina Rovelli
We give a model-independent definition of limits for diagrams valued in an -category. We show that this definition is compatible with the existing notion of homotopy 2-…