Tangents of σ-finite curves and scaled oscillation

Author:

CSÖRNYEI MARIANNA,WILSON BOBBY

Abstract

AbstractWe show that every continuous simple curve with σ-finite length has a tangent at positively many points. We also apply this result to functions with finite lower scaled oscillation; and study the validity of the results in higher dimension.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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5. G. Alberti , M. Csörnyei and D. Preiss Paper in preparation.

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