Theorems · Definition · general topology

Equicontinuous

{ι : Type u_1} →
  {X : Type u_3} → {α : Type u_6} → [tX : TopologicalSpace X] → [uα : UniformSpace α] → (ι → X → α) → Prop

A family F : ι → X → α of functions from a topological space to a uniform space is equicontinuous on all of X if it is equicontinuous at each point of X.

Defined in

Mathlib.Topology.UniformSpace.Equicontinuity

Cited by

38 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceUniformSpace