Theorems · Definition · general topology

Homeomorph.toOpenPartialHomeomorph

{X : Type u_1} →
  {Y : Type u_3} → [inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → X ≃ₜ Y → OpenPartialHomeomorph X Y

A homeomorphism induces an open partial homeomorphism on the whole space

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Defs

Cited by

28 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace