Definition 2

Tag 0BTR, permanent. Cite it as [Bourbaki, Tag 0BTR].

General Topology, chapter IV, § 7. Infinite sums and products of real numbers

An infinite product whose general factor is $1 + u_n$ is said to be absolutely convergent if the product whose general factor is $1 + |u_n|$ is convergent.

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

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