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We study convex sets M ≤ Sn, where Sn is an n-dimensional sphere.
The set M ≤ Sn is strictly convex [1] when it doesn’t contain diametrically opposite points of the sphere and with any pair of points it contains a small arc of a great or a certain (definable) circle.
We prove the following
Theorem. Let there exists the set of closed strictly convex sets 
such that 1) 
, 2) for all sets 
s.t. 
and 
and for all natural numbers k satisfying conditions 
minimal number of subsets 
is equal to 
, so maximal number of subsets A, containing k elements with the empty intersection is 
.
Библиографическая ссылка
Gubajdullina N.A., Khohlov A.G. THE INTERSECTION OF STRICTLY CONVEX SETS ON THE SPHERE OF SN // European Journal of Natural History. 2017. № 3. С. 51-51;URL: https://world-science.ru/ru/article/view?id=33740 (дата обращения: 04.07.2025).