I want to how that in any metric space,
Intersection of any number of compactsets is compact.
2026-03-29 15:59:35.1774799975
Intersection of any number of compact sets is compact.
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Hint (for metric spaces): a compact set is closed; a closed subset of a compact subset is compact; what about intersections of closed sets?
Caveat. “Any number” should be interpreted as “at least one”.