Remark 1
Tag 0BVP, permanent. Cite it as [Bourbaki, Tag 0BVP].
General Topology, chapter V, § 3. Topological characterization of the groups R and T
To decide whether a group which satisfies the conditions of Theorem 2 is isomorphic to or to , it is enough to see whether is compact or not.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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Nothing.