Bourbaki

Corollary 1

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

Topologie algébrique, chapter III, § 4. Homotopie et revêtements

The mapping p~:Cc(I;E)→Cc(I;B)\widetilde{p}:\mathscr{C}_c(\mathbf{I}; E)\rightarrow \mathscr{C}_c(\mathbf{I}; B) is a covering.

This follows from I, p. 71, cor. 2 of prop. 1.

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.