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A vector space of Morse functions - MaRDI portal

A vector space of Morse functions (Q1096734)

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scientific article; zbMATH DE number 4032001
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English
A vector space of Morse functions
scientific article; zbMATH DE number 4032001

    Statements

    A vector space of Morse functions (English)
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    1988
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    We prove the existence of a real vector space of dimension c, each of whose nonzero vectors is a continuous nowhere differentiable function F satisfying the following condition: at each point F has both finite left and right derived numbers and infinite left and right derived numbers.
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    Morse functions
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    real vector space
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    continuous nowhere differentiable function
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    derived numbers
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