Heine-Borel theorem

Heine-Borel theorem

[′hī·nə bȯ′rel ‚thir·əm]
(mathematics)
The theorem that the only compact subsets of the real line are those which are closed and bounded.
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References in periodicals archive ?
Blaschke's Theorem is an extension of the classical Heine-Borel Theorem which states that every closed and bounded subset K [??] [R.sup.n] is sequentially compact.