Remark 2

Tag 024O, permanent. Cite it as [Bourbaki, Tag 024O].

Topologie algébrique, chapter IV, § 6. Espaces classifiants

Let $d$ be a bounded distance which defines the topology of G. When the topological group $G^*$ is endowed with the distance $d^*$ , the homomorphism $\iota : G\rightarrow G^*$ is an isometry.

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

Nothing.

Cites

Nothing.