3 papers
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.AT2023
Fibrantly-transferred model structures
Léonard Guetta, Lyne Moser, Maru Sarazola +1
We develop new techniques for constructing model structures from a given class of cofibrations, together with a class of fibrant objects and a choice of weak equivalences between t…
math.AT2022
Presheaves of groupoids as models for homotopy types
Léonard Guetta
We introduce the notion of groupoidal (weak) test category, which is a small category A such that the groupoid-valued presheaves over A models homotopy types in a "canonical and ni…