Theorems · Inductive type · global analysis

BoundarylessManifold

{𝕜 : Type u_5} →
  [inst : NontriviallyNormedField 𝕜] →
    {E : Type u_6} →
      [inst_1 : NormedAddCommGroup E] →
        [inst_2 : NormedSpace 𝕜 E] →
          {H : Type u_7} →
            [inst_3 : TopologicalSpace H] →
              ModelWithCorners 𝕜 E H → (M : Type u_8) → [inst : TopologicalSpace M] → [ChartedSpace H M] → Prop

Type class for manifold without boundary. This differs from ModelWithCorners.Boundaryless, which states that the ModelWithCorners maps to the whole model vector space.

Defined in

Mathlib.Geometry.Manifold.IsManifold.InteriorBoundary

Cited by

30 results in Mathlib

Foundations

Depth 12 from the axioms · uses no axioms

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpace