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On curves possessing parametrizations whose derivatives are separated from zero. (English) Zbl 1237.46031

Filipczak, Małgorzata (ed.) et al., Real functions, density topology and related topics. Dedicated to Professor Władysław Wilczyński on the occasion of his 65th birthday. Łódź: Wydawnictwo Uniwersytetu Łódzkiego (ISBN 978-83-7525-536-2/pbk). 173-182 (2011).
Summary: We give a connection between the contingent of a curve and the existence of some differentiable parametrization of this curve. This parametrization has a nowhere vanishing derivative.
For the entire collection see [Zbl 1222.26005].

MSC:

46G05 Derivatives of functions in infinite-dimensional spaces
26E20 Calculus of functions taking values in infinite-dimensional spaces
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