Remark

Tag 01Z7, permanent. Cite it as [Bourbaki, Tag 01Z7].

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

Let G be a discrete topological group. With the notation of the proposition, suppose that E is a principal covering with group G. Then the coverings $f_0^*(E)$ and $f_1^*(E)$ are isomorphic principal coverings (I, p. 131, remark).

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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