Corollary 2

Tag 01N0, permanent. Cite it as [Bourbaki, Tag 01N0].

Topologie algébrique, chapter I, § 2. Applications étales

Let B be a topological space; a bijective B-morphism of one étalé B-space into another is a B-isomorphism.

By corollary 1, such a morphism is étale; it is therefore open (I, p. 29, remark 2). If it is bijective, it is a B-isomorphism.

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.

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