Remark 1

Tag 01N8, permanent. Cite it as [Bourbaki, Tag 01N8].

Topologie algébrique, chapter I, § 2. Applications étales

Let $p: E\rightarrow B$ be a continuous and open mapping. In order that an open set U of E be the image of a continuous section of $p$ over an open set of B, it is necessary and sufficient that the restriction of $p$ to U be injective.

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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