2 problems

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Existence of a continuous function nowhere differentiable along every unit speed curve
A unit speed curve is a curve parametrized by arclength, and a $C^1$ curve has a continuous first derivative. Existence conjecture. There is a continuous function … whose restricti…
Conjectureopenanalysis curve-regularity nowhere-differentiable-functionsarXiv posted 2 days ago
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Conjecture that the standard parametrization of the subdivision limit is $C^1$
Conjecture on the standard parametrization. Thanks to the averaging step, the standard parametrization is $C^1$ .
Conjectureopencurve-regularity geometric-design subdivision-schemesarXiv posted 2 days ago

Existence of a continuous function nowhere differentiable along every unit speed curve