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arXiv · 0804.4273

The Frolicher--Kriegl differentiabilities as a particular case of the Bertram--Glockner--Neeb construction

Seppo I. Hiltunen
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Abstract

We prove that the order $k$ differentiability classes for $k=0,1,...\infty$ in the "arc-generated" interpretation of the Lipschitz theory of differentiation by Frolicher and Kriegl can be obtained as particular cases of the general construction by Bertram, Glockner and Neeb leading to $C^k$ differentiabilities from a given $C^0$ concept.

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Seppo I. Hiltunen. 2008-04-27. The Frolicher--Kriegl differentiabilities as a particular case of the Bertram--Glockner--Neeb construction. https://arxiv.org/abs/0804.4273

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