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Theorems · Theorem · general topology

Equiv.polishSpace_induced

∀ {α : Type u_1} {β : Type u_2} [t : TopologicalSpace β] [PolishSpace β] (f : α ≃ β), PolishSpace α

Pulling back a Polish topology under an equiv gives again a Polish topology.

Defined in
Mathlib.Topology.MetricSpace.Polish
Cited by
1 results in Mathlib
Foundations
Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpacePolishSpace

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