Theorems · Definition · global analysis

Topology.IsOpenEmbedding.singletonChartedSpace

{H : Type u} →
  [inst : TopologicalSpace H] →
    {α : Type u_5} →
      [inst_1 : TopologicalSpace α] → [Nonempty α] → {f : α → H} → Topology.IsOpenEmbedding f → ChartedSpace H α

An open embedding of α into H induces an H-charted space structure on α. See OpenPartialHomeomorph.singletonChartedSpace.

Defined in

Mathlib.Geometry.Manifold.HasGroupoid

Cited by

6 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceNonempty