KnowraCompact spaceLinked fromLinked fromThe 59 pages that link to Compact space, each with the reason it gives.All 59Broader topic 1Related 41Narrower topic 13Compared with 4Closed setCompared with: Closed subsets of compact spaces are compact, but closedness alone does not imply compactness.Complete metric spaceCompared with: Compactness is stronger than completeness for metric spaces, requiring control beyond Cauchy limits.Bounded setCompared with: Compact subsets of metric spaces are bounded, but bounded subsets need not be compact.Lindelöf's lemmaCompared with: Compactness strengthens the lemma’s countable-subcover conclusion to a finite one.