An estimate of the measure of the set of planes almost tangent to a~compactum with bounded variations
Izvestiya. Mathematics , Tome 16 (1981) no. 1, pp. 135-150
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It is proved that in a Euclidean space almost all planes intersecting a compactum with finite variations are in general position with respect to it. An example is given showing that the requirement of the boundedness of the corresponding variation is necessary.
Bibliography: 3 titles.
@article{IM2_1981_16_1_a6,
author = {G. Yu. Zaitsev},
title = {An estimate of the measure of the set of planes almost tangent to a~compactum with bounded variations},
journal = {Izvestiya. Mathematics },
pages = {135--150},
publisher = {mathdoc},
volume = {16},
number = {1},
year = {1981},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a6/}
}
TY - JOUR AU - G. Yu. Zaitsev TI - An estimate of the measure of the set of planes almost tangent to a~compactum with bounded variations JO - Izvestiya. Mathematics PY - 1981 SP - 135 EP - 150 VL - 16 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a6/ LA - en ID - IM2_1981_16_1_a6 ER -
G. Yu. Zaitsev. An estimate of the measure of the set of planes almost tangent to a~compactum with bounded variations. Izvestiya. Mathematics , Tome 16 (1981) no. 1, pp. 135-150. http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a6/