Corollary

Tag 0BW7, permanent. Cite it as [Bourbaki, Tag 0BW7].

General Topology, chapter VI, § 1. Real number space R^n

The space $\mathbf{R}^n$ is locally compact, but is not compact if $n \geq 1$ .

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

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