Theorems · Definition · global analysis

smoothSheaf

{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] →
                          ModelWithCorners 𝕜 E H →
                            (M : Type u) →
                              [inst : TopologicalSpace M] →
                                [ChartedSpace HM M] →
                                  (N : Type u) →
                                    [inst_8 : TopologicalSpace N] →
                                      [ChartedSpace H N] → TopCat.Sheaf (Type u) (TopCat.of M)

The sheaf of smooth functions from M to N, as a sheaf of types.

Defined in

Mathlib.Geometry.Manifold.Sheaf.Smooth

Cited by

23 results in Mathlib

Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceTopologicalSpaceChartedSpace