Remark
Tag 0B8B, permanent. Cite it as [Bourbaki, Tag 0B8B].
General Topology, chapter I, § 9. Compact spaces and locally compact spaces
In a non-Hausdorff space, a compact set need not be closed, and its closure need not be quasi-compact (Exercise 5); the intersection of two compact sets need not be quasi-compact (Exercise 5); the union of two compact sets need not be compact (Exercise 5).
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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