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A REMARK ON HEINE-BOREL THEOREMAbstract: In the short study, we present a contradiction which comes from ignoring a hidden assumption in Heine-Borel theorem. Finally, we prove a useful theorem which rectifies the contradiction. 2010 Mathematics subject Classification: 30L99 Keywords and Phrases: Metric Space, Compactness, Heine-Borel Theorem
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