Theorems · Definition · global analysis

smoothPresheafCommGroup

{𝕜 : Type u_1} →
  [inst : NontriviallyNormedField 𝕜] →
    {EM : Type u_2} →
      [inst_1 : NormedAddCommGroup EM] →
        [inst_2 : NormedSpace 𝕜 EM] →
          {HM : Type u_3} →
            [inst_3 : TopologicalSpace HM] →
              ModelWithCorners 𝕜 EM HM →
                {E : Type u_4} →
                  [inst_4 : NormedAddCommGroup E] →
                    [inst_5 : NormedSpace 𝕜 E] →
                      {H : Type u_5} →
                        [inst_6 : TopologicalSpace H] →
                          (I : ModelWithCorners 𝕜 E H) →
                            (M : Type u) →
                              [inst_7 : TopologicalSpace M] →
                                [ChartedSpace HM M] →
                                  (A : Type u) →
                                    [inst_9 : TopologicalSpace A] →
                                      [inst_10 : ChartedSpace H A] →
                                        [inst_11 : CommGroup A] →
                                          [LieGroup I (↑⊤) A] → TopCat.Presheaf CommGrpCat (TopCat.of M)

The presheaf of smooth functions from M to A, for A an abelian Lie group, as a presheaf of abelian groups.

Defined in

Mathlib.Geometry.Manifold.Sheaf.Smooth

Cited by

0 results in Mathlib

Foundations

Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceTopologicalSpaceChartedSpaceCommGroupLieGroup