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Theorems · Definition · general topology

Set.UniformEquicontinuous

{α : Type u_6} → {β : Type u_8} → [uα : UniformSpace α] → [uβ : UniformSpace β] → Set (β → α) → Prop

We say that a set H : Set (X → α) of functions is uniformly equicontinuous if the family (↑) : ↥H → (X → α) is uniformly equicontinuous.

Defined in
Mathlib.Topology.UniformSpace.Equicontinuity
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
UniformSpaceUniformSpace
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Set.UniformEquicontinuous.closure · cited by 0UniformEquicontinuous.clo…Set.UniformEquicontinuous.mono · cited by 0UniformEquicontinuous.monoSet.UniformEquicontinuous.uniformContinuous_of_mem · cited by 0UniformEquicontinuous.uni…Set · cited by 53352SetUniformSpace · cited by 2040UniformSpaceUniformEquicontinuous · cited by 35UniformEquicontinuousSet.UniformEquicontinuousCITED BYCITES

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Cited by3

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