Bourbaki

Definition 4

Tag 0C8Q, permanent. Cite it as [Bourbaki, Tag 0C8Q].

General Topology, chapter IX, § 6. Polish spaces, Souslin spaces, Borel sets

In a topological space XX, the elements of the σ\sigma-algebra generated by the set of all closed subsets of XX are called Borel sets in XX.

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

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Cites

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Transcribed from the printed volume. Not translated.