Theorems · Definition · sequences and series

MultipliableUniformlyOn

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

MultipliableUniformlyOn f s means that there is some infinite product to which f converges uniformly on s. Use fun x ↦ ∏' i, f i x to get the product function.

Defined in

Mathlib.Topology.Algebra.InfiniteSum.UniformOn

Cited by

16 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidUniformSpace