Structures · Topology

TopologicalSpace.UpgradedIsCompletelyMetrizableSpace

A convenience class, for a completely metrizable space endowed with a complete metric. No instance of this class should be registered: It should be used as letI := upgradeIsCompletelyMetrizable X to endow a completely metrizable space with a complete metric.

Defined in: Mathlib.Topology.Metrizable.CompletelyMetrizable
Shape: One type argument

Open in Mathlib docs

Extends2

MetricSpace
CompleteSpace

Extended by0

Nothing extends this class yet.

Concrete types that are instances0

No instance on a concrete type; it is reached through other classes.

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Assumed by2