Lyne Moser

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math.AT2024

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

An $(\infty, n)$ -categorical straightening-unstraightening construction

Lyne Moser, Nima Rasekh, Martina Rovelli

We provide an $(\infty, n)$ -categorical version of the straightening-unstraightening construction, asserting an equivalence between the $(\infty, n)$ -category of double $(\infty,n-1)…

Double categorical model of (∞,1)-categories

An (∞,n)-categorical straightening-unstraightening construction

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

An $(\infty, n)$ -categorical straightening-unstraightening construction