Bourbaki

Remark 1

Tag 01MT, permanent. Cite it as [Bourbaki, Tag 01MT].

Topologie algébrique, chapter I, § 2. Applications étales

The set of points of E at which a mapping p:E→Bp: E\rightarrow B is etale is an open set U of E, and the restriction of pp to U is an etale mapping of U into B.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

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Cites

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Machine translation of the English, by gpt-5.4, against glossary version 34. Not checked by a person.