Bourbaki

Corollary

Tag 01S3, permanent. Cite it as [Bourbaki, Tag 01S3].

Topologie algébrique, chapter I, § 6. Espaces simplement connexes

Let B be a topological space and let bb be a point of B. Let E be a simply connected covering of B. For every point xx of EbE_b, the pointed space (E,x)(E, x) is a universal covering of (B,b)(B, 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.