Borel–Lebesgue theorem

E1116059 UNEXPLORED

The Borel–Lebesgue theorem is a fundamental result in real analysis and topology that characterizes compact subsets of Euclidean space via the property that every open cover admits a finite subcover.

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All labels observed (2)

Label	Occurrences
Borel–Lebesgue theorem canonical	1
Heine–Borel theorem for products of closed bounded intervals in R	1

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Émile Borel → notableWork → Borel–Lebesgue theorem ⓘ

Tychonoff theorem for products of compact spaces → generalizes → Borel–Lebesgue theorem ⓘ

this entity surface form: Heine–Borel theorem for products of closed bounded intervals in R