ContinuousMap.equivFnOfDiscrete

{α : Type u_1} →
  {β : Type u_2} →
    [inst : TopologicalSpace α] → [inst_1 : TopologicalSpace β] → [DiscreteTopology α] → C(α, β) ≃ (α → β)

The continuous functions from α to β are the same as the plain functions when α is discrete.

Defined in: Mathlib.Topology.ContinuousMap.Basic
Cited by: 5 results in Mathlib
Foundations: Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace TopologicalSpace DiscreteTopology

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