Surjective Function Theorems
AbstractGiven the unit sphere Sn, we prove the following theorem and several extensions: For any continuous function f : Sn - Sn, if f has no fixed point in Sn, then f must be surjective.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1999-75.
Date of creation: 1999
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Surjective function; fixed point; antifexed point; antipodal point; sphere; manifold;
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