Bourbaki

Proposition 12

Tag 09NQ, permanent. Cite it as [Bourbaki, Tag 09NQ].

Integration, chapter IX, § 1. Premeasures and measures on a topological space

The function μ∗\mu^* is an encumbrance on TT.

The properties a),b),c)a), b), c) of Def. 1 of No. 1 are obvious. The proof of the property d) is identical to that of Th. 3 of Ch. IV, §1, No. 3, on taking into account Props. 4 and 5 a).

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.