Abstract
In this short note a simple and constructive proof is given for Borsuk's theorem on antipodal points. This is done through a special application of the complementary pivoting algorithm.
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References
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Bárány, I. Borsuk's theorem through complementary pivoting. Mathematical Programming 18, 84–88 (1980). https://doi.org/10.1007/BF01588299
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DOI: https://doi.org/10.1007/BF01588299