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Surjective Function Theorems

Sun,N.
; 
Yang,Z.F.
Abstract
Given 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.
Description
Subsequently published in Yokohama Business Review, 2007 Pagination: 6
Date
1999
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Volume Title
Publisher
Microeconomics
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Tilburg University Research Output Collection
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75.pdf
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Keywords
Surjective function, fixed point, antifexed point, antipodal point, sphere, manifold
Citation
Sun, N & Yang, Z F 1999 'Surjective Function Theorems' CentER Discussion Paper, vol. 1999-75, Microeconomics, Tilburg.
URI
https://hdl.handle.net/20.500.14602/26591
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