Theorems · Definition · sequences and series

SummableLocallyUniformlyOn

{α : Type u_1} →
  {β : Type u_2} →
    {ι : Type u_3} → [AddCommMonoid α] → (ι → β → α) → Set β → [UniformSpace α] → [TopologicalSpace β] → Prop

SummableLocallyUniformlyOn f s means that ∑' i, f i b converges locally uniformly on s to something.

Defined in

Mathlib.Topology.Algebra.InfiniteSum.UniformOn

Cited by

17 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidUniformSpaceTopologicalSpace