1 citations · 2 across the 5 of their papers we have counts for
6 papers
Nonabelian basechange theorems & étale homotopy theory
Peter J. Haine, Tim Holzschuh, Sebastian Wolf
This paper has two main goals. First, we prove nonabelian refinements of basechange theorems in étale cohomology (i.e., prove analogues of the classical statements for sheaves of s…
Internal higher topos theory
Louis Martini, Sebastian Wolf
We develop the theory of topoi internal to an arbitrary -topos . We provide several characterisations of these, including an internal analogue of Lurie's charac…
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…
The fundamental fiber sequence in étale homotopy theory
Peter J. Haine, Tim Holzschuh, Sebastian Wolf
Let be a field with separable closure , and let be a qcqs -scheme. We use the theory of profinite Galois categories developed by Barwick-Glasman-Haine…
Colimits and cocompletions in internal higher category theory
Louis Martini, Sebastian Wolf
We develop a number of basic concepts in the theory of categories internal to an -topos. We discuss adjunctions, limits and colimits as well as Kan extensions for internal…
The Pro-Étale Topos as a Category of Pyknotic Presheaves
Sebastian Wolf
Let be a coherent scheme and let denote the Galois category of , as introduced by Barwick, Glasman and Haine. In this paper we prove that the hyperco…