Theorems · Definition · algebraic geometry

AlgebraicGeometry.continuousMapPresheafAbForgetIso

(A : Type v) →
  [inst : TopologicalSpace A] →
    [inst_1 : AddCommGroup A] →
      [inst_2 : IsTopologicalAddGroup A] →
        (AlgebraicGeometry.continuousMapPresheafAb A).comp (CategoryTheory.forget Ab) ≅
          AlgebraicGeometry.continuousMapPresheaf A

continuousMapPresheafAb viewed as a type valued sheaf is isomorphic to continuousMapPresheaf.

Defined in: Mathlib.AlgebraicGeometry.Sites.ConstantSheaf
Cited by: 0 results in Mathlib
Foundations: Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace AddCommGroup IsTopologicalAddGroup

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TopologicalSpacestatement and proof · cited by 24,529
CategoryTheory.Functorstatement · cited by 16,252
AddCommGroupstatement and proof · cited by 12,871
Oppositestatement · cited by 8,081
CategoryTheory.Functor.compstatement and proof · cited by 6,529
CategoryTheory.Isostatement · cited by 3,963
AddMonoidHomstatement · cited by 3,230
AlgebraicGeometry.Schemestatement · cited by 2,540
IsTopologicalAddGroupstatement and proof · cited by 1,394
CategoryTheory.Iso.reflproof · cited by 727
AddCommGrpCatstatement · cited by 462
CategoryTheory.forgetstatement and proof · cited by 418

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