Bourbaki

Example 1

Tag 0CC2, permanent. Cite it as [Bourbaki, Tag 0CC2].

General Topology, chapter X, § 2. Equicontinuous sets

Let X be a topological space (resp. a uniform space) and Y a uniform space. Every finite set of continuous (resp. uniformly continuous) mappings of X into Y is equicontinuous (resp. uniformly equicontinuous).

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.