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(view preamble)
Cross-references: least upper bound property, reals, centre, contain, nested interval theorem, lengths, sequence, divide, sides, Tychonoff's theorem, Heine-Borel theorem, completes, vector space, norm, subspace topology, product topology, endpoint, right, easy to see, subcover, interval, open interval, point, finite, supremum, open sets, cover, closed interval, compact set, compact rectangle, rectangle, necessary, compact, bounded set, contained, finite cover, open cover, compact subset, Hausdorff space, bounded, closed, implies, definitions, even, topology, proofs
This is version 20 of proof of Heine-Borel theorem, born on 2002-08-21, modified 2005-08-03.
Object id is 3328, canonical name is ProofOfHeineBorelTheorem.
Accessed 13243 times total.
Classification:
| AMS MSC: | 54D30 (General topology :: Fairly general properties :: Compactness) |
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Pending Errata and Addenda
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