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real analysis - Which step fails if we would assume $F=(a,b) \subset ℝ$ in the Heine-Borel theorem - Mathematics Stack Exchange
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An Analysis of the First Proofs of the Heine-Borel Theorem - Cousin's Proof | Mathematical Association of America
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An Analysis of the First Proofs of the Heine-Borel Theorem - Borel's Proof | Mathematical Association of America
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