Corollary 3

Tag 01N1, permanent. Cite it as [Bourbaki, Tag 01N1].

Topologie algébrique, chapter I, § 2. Applications étales

Let $p: E\rightarrow B$ be an étale mapping. Every continuous section of $p$ induces a homeomorphism of B onto an open subset of E.

In fact, such a section is étale (corollary 1), hence open.

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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