Bourbaki

Definition 2

Tag 0B01, permanent. Cite it as [Bourbaki, Tag 0B01].

General Topology, chapter I, § 2. Continuous functions

A mapping of a topological space XX into a topological space X′X' is said to be continuous on XX (or just continuous) if it is continuous at each point of XX.

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.