Tangents of σ-finite Curves and Scaled Oscillation
classification
🧮 math.CA
keywords
finiteoscillationscaledsigmaapplycontinuouscurvecurves
read the original abstract
We show that every continuous simple curve with $\sigma$-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.
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