LocallyConstant.charFn

{X : Type u_1} →
  (Y : Type u_2) → [inst : TopologicalSpace X] → [MulZeroOneClass Y] → {U : Set X} → IsClopen U → LocallyConstant X Y

Characteristic functions are locally constant functions taking x : X to 1 if x ∈ U, where U is a clopen set, and 0 otherwise.

Defined in: Mathlib.Topology.LocallyConstant.Algebra
Cited by: 5 results in Mathlib
Foundations: Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace MulZeroOneClass

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