Louis Martini

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20222026

most citedCocartesian fibrations and straightening internal to an

\infty

-topos

1 citations · 1 across the 3 of their papers we have counts for

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math.CT2026

Free fibrations, lax colimits and Kan extensions for $(\infty, 2)$ -categories

Fernando Abellán, Rune Haugseng, Louis Martini

In the first part of this paper we study fibrations of $(\infty, 2)$ -categories. We give a simple characterization of such fibrations in terms of a certain square being a pullback,…

math.CT2024

$(\infty, 2)$ -Topoi and descent

Fernando Abellán, Louis Martini

We set the foundations of a theory of Grothendieck $(\infty, 2)$ -topoi based on the notion of fibrational descent, which axiomatizes both the existence of a classifying object for f…

math.CT2022★ 1 cited

Cocartesian fibrations and straightening internal to an $\infty$ -topos

Louis Martini

We define and study cartesian and cocartesian fibrations between categories internal to an $\infty$ -topos and prove a straightening equivalence in this context.

Free fibrations, lax colimits and Kan extensions for (∞,2)-categories

(∞,2)-Topoi and descent

Cocartesian fibrations and straightening internal to an ∞-topos

Free fibrations, lax colimits and Kan extensions for $(\infty, 2)$ -categories

$(\infty, 2)$ -Topoi and descent

Cocartesian fibrations and straightening internal to an $\infty$ -topos