Corollary 3

Tag 024E, permanent. Cite it as [Bourbaki, Tag 024E].

Topologie algébrique, chapter IV, § 6. Espaces classifiants

Let B be a paracompact topological space and let G be a topological group. If B is homotopic to a point, every principal fibre space with group G is trivialisable.

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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