The Frolicher--Kriegl differentiabilities as a particular case of the Bertram--Glockner--Neeb construction
Abstract
We prove that the order k differentiability classes for k=0,1,...∞ 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 Ck differentiabilities from a given C0 concept.
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