Remark 2

Tag 0C02, permanent. Cite it as [Bourbaki, Tag 0C02].

General Topology, chapter VIII, § 1. Complex numbers, quaternions

From what has been proved it follows that the spheres $S_1$ and $S_n$ can carry a group structure compatible with their topology. We shall see later that, for each integer $n$ other than 1 and 3, there exists no group structure on $S_n$ compatible with the topology of $S_n$ .

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

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