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Approximation and differential properties of measurable sets
A. N. Zhdanov, E. A. Sevast'yanov
Abstract:
In this paper the authors establish approximation properties of measurable sets, which are then applied to study the differential properties of sets connected with the notion of points of density. A refinement of the well-known Lebesgue theorem on points of density of measurable sets is obtained.
Bibliography: 7 titles.
Received: 30.08.1982
Citation:
A. N. Zhdanov, E. A. Sevast'yanov, “Approximation and differential properties of measurable sets”, Mat. Sb. (N.S.), 121(163):3(7) (1983), 403–422; Math. USSR-Sb., 49:2 (1984), 401–418
Linking options:
https://www.mathnet.ru/eng/sm2209https://doi.org/10.1070/SM1984v049n02ABEH002717 https://www.mathnet.ru/eng/sm/v163/i3/p403
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Abstract page: | 409 | Russian version PDF: | 110 | English version PDF: | 18 | References: | 64 |
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