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Full Individual and Class Differentiation Theorems In Their Relations To Halo and Vitali Properties

Published online by Cambridge University Press:  20 November 2018

C. A. Hayes Jr.  and
C. Y. Pauc
C. A. Hayes Jr.
Affiliation:
University of California, Davis, Calif.
C. Y. Pauc
Affiliation:
Université de Rennes, France
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Introduction. In his article (22), de Possel laid the foundations for an abstract theory of differentiation of set functions, the term “abstract” being meant in the sense of Fréchet-Nikodym, that is, without reference to a euclidean, metric, or topological background. In 1.1, we adopt, substantially, his notion of derivation basis. De Possel considered two Vitali properties for a derivation basis.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 221 - 274
Copyright
Copyright © Canadian Mathematical Society 1955

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