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math.CT2022★ 1 cited
Presentability and topoi in internal higher category theory
Louis Martini, Sebastian Wolf
The goal of this article is to develop the theory of presentable categories and topoi internal to an arbitrary -topos . Our main results are internal analogues…
math.CT2022★ 1 cited
Cocartesian fibrations and straightening internal to an -topos
Louis Martini
We define and study cartesian and cocartesian fibrations between categories internal to an -topos and prove a straightening equivalence in this context.