Izvestiya. Mathematics, Tome 16 (1981) no. 1, pp. 135-150
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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/
@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},
year = {1981},
volume = {16},
number = {1},
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
UR - http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a6/
LA - en
ID - IM2_1981_16_1_a6
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%0 Journal Article
%A G. Yu. Zaitsev
%T An estimate of the measure of the set of planes almost tangent to a compactum with bounded variations
%J Izvestiya. Mathematics
%D 1981
%P 135-150
%V 16
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a6/
%G en
%F IM2_1981_16_1_a6
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.
