Theorems · Definition · general topology

OpenPartialHomeomorph.toHomeomorphSourceTarget

{X : Type u_1} →
  {Y : Type u_3} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] → (e : OpenPartialHomeomorph X Y) → ↑e.source ≃ₜ ↑e.target

An open partial homeomorphism defines a homeomorphism between its source and target.

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Basic

Cited by

6 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace