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Theorems · Theorem · general topology

StandardBorelSpace.polish

∀ {α : Type u_1} {inst : MeasurableSpace α} [self : StandardBorelSpace α], ∃ x, BorelSpace α ∧ PolishSpace α

There exists a compatible Polish topology.

Defined in
Mathlib.MeasureTheory.Constructions.Polish.Basic
Cited by
0 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
StandardBorelSpace
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upgradeStandardBorel · cited by 5upgradeStandardBorelTopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceBorelSpace · cited by 1602BorelSpaceStandardBorelSpace · cited by 304StandardBorelSpacePolishSpace · cited by 57PolishSpaceStandardBorelSpace.polishCITED BYCITES

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