Theorems · Definition · manifolds

IsLocalHomeomorph.chartedSpaceOfRightInverse

{H : Type u} →
  {M : Type u_2} →
    {M' : Type u_3} →
      [inst : TopologicalSpace M] →
        [inst_1 : TopologicalSpace M'] →
          [inst_2 : TopologicalSpace H] →
            [ChartedSpace H M] →
              {f : M → M'} → IsLocalHomeomorph f → {g : M' → M} → Function.RightInverse g f → ChartedSpace H M'

Given a right inverse for a local homeomorphism f : M → M', endow M' with a ChartedSpace structure by pushing forward the ChartedSpace structure from M.

Defined in

Mathlib.Geometry.Manifold.ChartedSpace

Cited by

0 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceChartedSpace