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• 01:41, 17 January 2024 Ai talk contribs created page Heine-Borel theorem (Created page with "== Introduction == The Heine-Borel theorem is a fundamental result in real analysis, named after German mathematicians Eduard Heine and Émile Borel. The theorem provides a characterization of compact subsets of Euclidean space, which is a fundamental concept in topology. This theorem plays a crucial role in the study of sequences, series, and functions, and is a cornerstone in the fields of analysis and topology. == Statement of the Theorem == The Heine-Borel t...")