Commit 2024-06-24 08:03 7788d14a
View on Github →feat(CategoryTheory/Sites): the topology is generated by 1-hypercovers (#13011)
In this PR, we show that a Grothendieck topology on a category C
(with C : Type u
and [Category.{v} C]
) is (obviously) generated by 1-hypercovers of size max u v
.
In order to facilitate this, the type Cover.Relation
is repackaged in a slightly different manner. Some proofs have been cleaned up. Several dsimp
lemmas which had been manually added have been removed (and replaced by auto-generated ones).