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A general form of the covering principle and relative differentiation of additive functions. (English) Zbl 0063.00352

From the text: The Vitali covering principle is a powerful method in a wide class of problems of the theory of functions of a real variable and of the theory of sets. Here I generalized the Vitali covering principle from the case of Lebesgue measure to the case of any non-negative additive function.
For Part II, see ibid. 42, 1–10 (1946; Zbl 0063.00353).

MSC:

28-XX Measure and integration

Citations:

Zbl 0063.00353
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