Remark
Tag 0B8Y, permanent. Cite it as [Bourbaki, Tag 0B8Y].
General Topology, chapter I, § 9. Compact spaces and locally compact spaces
A Hausdorff space can be a countable union of compact subspaces without being locally compact. \* An example is Hilbert space with the weak topology, as we shall show in a later volume.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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Cites
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