IsClosed.isClopenable

∀ {α : Type u_1} [inst : TopologicalSpace α] [PolishSpace α] {s : Set α}, IsClosed s → PolishSpace.IsClopenable s

Given a closed set s in a Polish space, one can construct a finer Polish topology for which s is both open and closed.

Defined in: Mathlib.Topology.MetricSpace.Polish
Cited by: 1 results in Mathlib
Foundations: Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace PolishSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.