This is a preview of subscription content, log in via an institution to check access.
Literature cited
R. A. Gibbs and R. C. Entringer, “Partitions of Ed by hyperplanes,” in: Proceedings of the Twelfth Southeastern Conference on Combinatorics, Graph Theory and Computing, Vol. 1 (Baton Rouge, La., 1981), Congr. Numer. 32 (1981); pp. 353–364.
G. O. Katona, “On a problem of L. Fejes Toth,” Stud. Sci. Math. Hung.,12, No. 1–2, 77–80 (1977).
Mathematics Education [in Russian], No. 3, Fizmatgiz, Moscow (1958), p. 270.
I. Ya. Bakel'man, A. A. Verner, and B. E. Kantor, Introduction to Differential Geometry “in the Large” [in Russian], Nauka, Moscow (1973).
K. Leichtweiss, Convex Sets [Russian translation], Nauka, Moscow (1985).
V. A. Zalgaller, “On k-dimensional directions, singular for a convex body in Rn,” J. Sov. Math.,3, No. 4 (1975).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 44, No. 1, pp. 89–99, July, 1988.
Rights and permissions
About this article
Cite this article
Kovalev, M.D. A property of convex sets and its application. Mathematical Notes of the Academy of Sciences of the USSR 44, 537–543 (1988). https://doi.org/10.1007/BF01158120
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01158120