Theorems · Definition · category theory

Condensed.ProfiniteCompHaus.equivalence

(A : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} A] →
    [∀ (X : CompHausᵒᵖ),
          CategoryTheory.Limits.HasLimitsOfShape (CategoryTheory.StructuredArrow X profiniteToCompHaus.op) A] →
      CategoryTheory.Sheaf (CategoryTheory.coherentTopology Profinite) A ≌ Condensed A

The equivalence from coherent sheaves on Profinite to coherent sheaves on CompHaus (i.e. condensed sets).

Defined in

Mathlib.Condensed.Equivalence

Cited by

4 results in Mathlib

Foundations

Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasLimitsOfShape