Remark

Tag 0BK6, permanent. Cite it as [Bourbaki, Tag 0BK6].

General Topology, chapter III, § 3. Uniform structures on groups

If the continuous homomorphism $u$ is bijective, it does not follow in general that $\bar{u}$ is either injective or surjective (cf. Exercise 12); but see no. 5, Proposition 9.

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

Cited by

Nothing.

Cites

Exercise 12
no. 5, Proposition 9