Theorems · Definition · global analysis

ModelWithCorners.IsInteriorPoint

{𝕜 : Type u_1} →
  [inst : NontriviallyNormedField 𝕜] →
    {E : Type u_2} →
      [inst_1 : NormedAddCommGroup E] →
        [inst_2 : NormedSpace 𝕜 E] →
          {H : Type u_3} →
            [inst_3 : TopologicalSpace H] →
              ModelWithCorners 𝕜 E H → {M : Type u_4} → [inst : TopologicalSpace M] → [ChartedSpace H M] → M → Prop

p ∈ M is an interior point of a manifold M if and only if its image in the extended chart lies in the interior of the model space.

Defined in

Mathlib.Geometry.Manifold.IsManifold.InteriorBoundary

Cited by

23 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpace