Bourbaki

Proposition 3

Tag 0BV2, permanent. Cite it as [Bourbaki, Tag 0BV2].

General Topology, chapter V, § 1. Subgroups and quotient groups of R

Every Hausdorff quotient group of R\mathbf{R}, other than R\mathbf{R} and {0}\{0\}, is isomorphic to the group R/Z\mathbf{R}/\mathbf{Z}.

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

Cited by

Cites

Nothing.

Transcribed from the printed volume. Not translated.