Theorems · Definition · global analysis

ModelWithCorners.toHomeomorph

{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] → (I : ModelWithCorners 𝕜 E H) → [I.Boundaryless] → H ≃ₜ E

If I is a ModelWithCorners.Boundaryless model, then it is a homeomorphism.

Defined in

Mathlib.Geometry.Manifold.IsManifold.Basic

Cited by

2 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceModelWithCorners.Boundaryless