Linked from

The 59 pages that link to Compact space, each with the reason it gives.

• Lindelöf's lemmaCompared with: Compactness strengthens the lemma’s countable-subcover conclusion to a finite one.

• Pavel AlexandrovRelated: Compactness is the property his best-known compactification construction supplies.

• Buchdahl's theoremNarrower topic: The theorem is a sharp upper bound on stellar compactness under its assumptions.

• Cantor's intersection theoremRelated: Compactness ensures nested nonempty closed sets cannot lose all their common points.

• Fundamental lemma of the calculus of variationsRelated: Compactly supported tests use compact regions to keep localization and integrability controlled.

• Hopf conjecture (Euler characteristic)Related: Compactness is an explicit hypothesis, excluding noncompact examples.

• Riesz's lemmaRelated: Separated sequences constructed using the lemma obstruct compactness of closed unit balls.

• Soul theoremRelated: The soul is compact even though the ambient manifold is noncompact.

• Stone's representation theorem for Boolean algebrasRelated: Compactness is one of the defining properties of the representing space.