Theorems · Definition · measure theory

MeasureTheory.VectorMeasure.dirac

{β : Type u_2} →
  {M : Type u_3} →
    [inst : AddCommMonoid M] →
      [inst_1 : TopologicalSpace M] → [inst_2 : MeasurableSpace β] → β → M → MeasureTheory.VectorMeasure β M

The Dirac vector measure with mass v at a point x. It gives mass v to measurable sets containing x, and 0 otherwise.

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

15 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceMeasurableSpace