Bourbaki

Remark 2

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

General Topology, chapter V, § 3. Topological characterization of the groups R and T

Theorem 2 shows in particular that every topological group which is homeomorphic to the group R\mathbf{R} is necessarily isomorphic to R\mathbf{R}.

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

Cited by

Nothing.

Cites

Transcribed from the printed volume. Not translated.