Bourbaki

Proposition 3

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

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

Every family (1+ui)(1 + u_i) [resp. (1−ui)(1 - u_i)] of numbers ≥1\geq 1 (resp. ≥0\geq 0 and ≤1\leq 1) is multipliable in R‾\overline{\mathbf{R}}.

Same proof as for Proposition 2.

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

Cited by

Nothing.

Cites

Transcribed from the printed volume. Not translated.