Theorems · Definition · category theory

SheafOfModules.overMapPushforwardAdj

{C : Type u'} →
  [inst : CategoryTheory.Category.{v', u'} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      (R : CategoryTheory.Sheaf J RingCat) →
        [inst_1 : CategoryTheory.Limits.HasPullbacks C] →
          {X Y : C} → (f : X ⟶ Y) → SheafOfModules.overMap R f ⊣ SheafOfModules.overPullback R f

The adjunction between pushforward along Over.map and pushforward along Over.pullback.

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf.PushforwardContinuous

Cited by

0 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks