Theorems · Theorem · general topology

OpenPartialHomeomorph.isOpen_image_symm_of_subset_target

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : OpenPartialHomeomorph X Y) {t : Set Y}, IsOpen t → t ⊆ e.target → IsOpen (↑e.symm '' t)

The inverse of an open partial homeomorphism e is an open map on e.target.

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Basic

Cited by

0 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace