Approximation and differential properties of measurable sets
Sbornik. Mathematics, Tome 49 (1984) no. 2, pp. 401-418
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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.
@article{SM_1984_49_2_a7,
author = {A. N. Zhdanov and E. A. Sevast'yanov},
title = {Approximation and differential properties of measurable sets},
journal = {Sbornik. Mathematics},
pages = {401--418},
publisher = {mathdoc},
volume = {49},
number = {2},
year = {1984},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1984_49_2_a7/}
}
A. N. Zhdanov; E. A. Sevast'yanov. Approximation and differential properties of measurable sets. Sbornik. Mathematics, Tome 49 (1984) no. 2, pp. 401-418. http://geodesic.mathdoc.fr/item/SM_1984_49_2_a7/