Corollary 2

Tag 0214, permanent. Cite it as [Bourbaki, Tag 0214].

Topologie algébrique, chapter IV, § 2. Groupes de Poincaré des espaces délaçables

Let X and Y be topological spaces and let $f: X\rightarrow Y$ be a continuous and relatively connected mapping. If the space X is simply connected, the same is true of the space Y.

By corollary 1, every covering of Y is in fact trivializable.

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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