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Tangents of σ-finite curves and scaled oscillation
Published online by Cambridge University Press: 28 January 2016
Abstract
We 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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 161 , Issue 1 , July 2016 , pp. 1 - 12
- Copyright
- Copyright © Cambridge Philosophical Society 2016
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