Remark 3

Tag 0CBL, permanent. Cite it as [Bourbaki, Tag 0CBL].

General Topology, chapter X, § 1. The uniformity of $\mathscr{G}$-convergence

If $X$ is a uniform space, a proof analogous to that of Proposition 8 shows that the set of uniformly continuous mappings of $X$ into $Y$ is closed in $\mathscr{F}_u(X; Y)$ .

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Proposition 8