Corollary 1

Tag 020X, permanent. Cite it as [Bourbaki, Tag 020X].

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. By passing to connected components, the mapping $f$ induces a bijection from the set of connected components of X onto the set of connected components of Y.

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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Cites

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