Surjective Function Theorems

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.

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Year of publication:	1999
Authors:	Sun, N. ; Yang, Z.F.
Institutions:	Tilburg University, Center for Economic Research
Subject:	Surjective function \| fixed point \| antifexed point \| antipodal point \| sphere \| manifold

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Extent:	application/pdf
Series:	Discussion Paper.
Type of publication:	Book / Working Paper
Notes:	The text is part of a series CentER Discussion Paper Number 1999-75
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011091458