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Geometric proofs of the two-dimensional Borsuk–Ulam theorem |
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| Authors: | Karl Friedrich Siburg |
| Affiliation: | 1.Fakult?t für Mathematik,Technische Universit?t Dortmund,Dortmund,Germany |
| Abstract: | We give two proofs of the two-dimensional Borsuk–Ulam theorem. One is completely elementary and does not use homology theory or the mapping degree, while the second one makes use of the recent theory of symplectic quasi-states. |
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