Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897563 | Journal of Pure and Applied Algebra | 2018 | 19 Pages |
Abstract
We generalize toposic Galois theory to higher topoi. We show that locally constant sheaves in a locally (nâ1)-connected n-topos are equivalent to representations of its fundamental pro-n-groupoid, and that the latter can be described in terms of Galois torsors. We also show that finite locally constant sheaves in an arbitrary â-topos are equivalent to finite representations of its fundamental pro-â-groupoid. Finally, we relate the fundamental pro-â-groupoid of 1-topoi to the construction of Artin and Mazur and, in the case of the étale topos of a scheme, to its refinement by Friedlander.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marc Hoyois,