Bourbaki

Definition 5

Tag 093Q, permanent. Cite it as [Bourbaki, Tag 093Q].

Integration, V, p. 61, § 5. Measures defined by numerical densities

A measure θ\theta on T is said to be diffuse if ∣θ∣({t})=0|\theta|(\{t\}) = 0 for every t∈Tt \in T.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Transcribed from the printed volume. Not translated.