Theorems · Theorem · general topology

isOpenMap_iff_image_interior

∀ {X : Type u_1} {Y : Type u_2} {f : X → Y} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y],
  IsOpenMap f ↔ ∀ (s : Set X), f '' interior s ⊆ interior (f '' s)

Defined in

Mathlib.Topology.Maps.Basic

Cited by

1 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace