Bourbaki

Definition 3

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

Topologie algébrique, chapter I, § 4. Revêtements

A sheaf F\mathscr{F} on a topological space B is said to be locally constant if every point of B possesses an open neighbourhood U such that the induced sheaf F∣U\mathscr{F}|U is isomorphic to a constant sheaf on U.

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.