Theorems · Inductive type · category theory

CategoryTheory.ObjectProperty.IsConservativeFamilyOfPoints

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.GrothendieckTopology C} → CategoryTheory.ObjectProperty J.Point → Prop

Let P : ObjectProperty J.Point a family of points of a site (C, J)). We say that it is a conservative family of points if the corresponding fiber functors Sheaf J (Type w) ⥤ Type w jointly reflect isomorphisms.

Defined in

Mathlib.CategoryTheory.Sites.Point.Conservative

Cited by

17 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category