A proof of the Borsuk Antipodal Theorem for Fredholm maps |
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| Authors: | Kazimierz Gȩba Andrzej Granas |
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| Affiliation: | Institute of Mathematics, University of Gdansk, Gdansk, Poland;Département de Mathématiques et de Statistique, Université de Montréal, Montréal, P.Q., Canada |
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| Abstract: | With only the means of elementary analysis and the Smale-Sard lemma, a direct and self-contained proof of the Borsuk Antipodal Theorem for Fredholm maps is given. The discussion extends the arguments of J. C. Alexander and J. A. Yorke used in their analytical proof of the Antipodal Theorem in n. |
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