Theorems · Definition · global analysis

extChartAt

{𝕜 : Type u_1} →
  {E : Type u_2} →
    {M : Type u_3} →
      {H : Type u_4} →
        [inst : NontriviallyNormedField 𝕜] →
          [inst_1 : NormedAddCommGroup E] →
            [inst_2 : NormedSpace 𝕜 E] →
              [inst_3 : TopologicalSpace H] →
                [inst_4 : TopologicalSpace M] → ModelWithCorners 𝕜 E H → [ChartedSpace H M] → M → PartialEquiv M E

The preferred extended chart on a manifold with corners around a point x, from a neighborhood of x to the model vector space.

Defined in

Mathlib.Geometry.Manifold.IsManifold.ExtChartAt

Cited by

307 results in Mathlib

Foundations

Depth 24 from the axioms, rests on 136 definitions · uses propext, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpace