Surjective Function Theorems

N. Sun, Z.F. Yang

    Research output: Working paperDiscussion paperOther research output

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    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.
    Original languageEnglish
    Place of PublicationTilburg
    PublisherMicroeconomics
    Number of pages6
    Volume1999-75
    Publication statusPublished - 1999

    Publication series

    NameCentER Discussion Paper
    Volume1999-75

    Keywords

    • Surjective function
    • fixed point
    • antifexed point
    • antipodal point
    • sphere
    • manifold

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  • Cite this

    Sun, N., & Yang, Z. F. (1999). Surjective Function Theorems. (CentER Discussion Paper; Vol. 1999-75). Microeconomics.