Theorems · Theorem · general topology

CantorScheme.VanishingDiam.map_continuous

∀ {β : Type u_1} {α : Type u_2} {A : List β → Set α} [inst : PseudoMetricSpace α] [inst_1 : TopologicalSpace β]
  [DiscreteTopology β], CantorScheme.VanishingDiam A → Continuous (CantorScheme.inducedMap A).snd

A scheme with vanishing diameter along each branch induces a continuous map.

Defined in

Mathlib.Topology.MetricSpace.CantorScheme

Cited by

1 results in Mathlib

Foundations

Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoMetricSpaceTopologicalSpaceDiscreteTopology