Bourbaki

Corollary

Tag 07L8, permanent. Cite it as [Bourbaki, Tag 07L8].

Topological Vector Spaces, chapter III, § 1. Bornology in a topological vector space

— A subset A of E is bounded if and only if every countable subset of A is bounded.

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

Cited by

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Cites

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Transcribed from the printed volume. Not translated.