Bourbaki

Corollary

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

Topologie algébrique, chapter I, § 5. Revêtements principaux

A principal fibre space is trivializable if and only if it admits a continuous section.

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

Nothing.

Cites

Nothing.

Machine translation of the English, by gpt-5.4, against glossary version 34. Not checked by a person.