Proposition 9

Tag 01N7, permanent. Cite it as [Bourbaki, Tag 01N7].

Topologie algébrique, chapter I, § 2. Applications étales

Let $p: E\rightarrow B$ be a continuous mapping. In order that the mapping $p$ be étale, it is necessary and sufficient that every point of E possess an open neighbourhood which is the image of a continuous section of $p$ over an open subset of 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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