A generalization of the ham sandwich theorem

Pleiades Publishing Ltd - Tập 52 - Trang 771-779 - 1992
V. L. Dol'nikov1
1Yaroslav State University, USSR

Tài liệu tham khảo

L. Danzer, B. Grünbaum, and V. Klee, The Helly theorem [Russian translation], Mir, Moscow (1968).

V. G. Boltyanskii and I. M. Yaglom, Convex Figures [in Russian], Gosudarstvennoe Izdatel'stvo Tekhnikoteoreticheskoi Literatury, Moscow (1951).

B. Grünbaum, Studies in Combinatorial Geometry and Theory of Convex Bodies [Russian translation], Nauka, Moscow (1971).

V. V. Makeev, “A theorem on the division of the volume of a convex body by planes,” Intercollegiate collection of Scientific Papers: Investigations on the Theory of Riemannian manifolds and Their Immersions [in Russian], Leningrad (1986), pp. 41–44.

V. L. Dol'nikov, “On transversals of systems of sets,” in: Investigations on the Theory of Functions of Several Real Variables [in Russian], Yaroslav (1981), pp. 30–36.

V. L. Dol'nikov, “Generalized transversals of families of sets in Rn and connections between the Helly and the Borsuk theorems,” Dokl. Akad. Nauk SSSR,297, No. 4, 777–780 (1987).

V. L. Dol'nikov, “On the decomposition of measures by a subspace of polynomials,” Proceedings of the All-Union Conference on Theory of Approximation of Functions, June 26–29, 1990 [in Russian], Dnepropetrovsk (1991), pp. 43–44.

B. A. Rozenfel'd, Non-Euclidean Spaces [in Russian], Nauka, Moscow (1969).

M. G. Krein, “The L-problem in an abstract linear space,” in: I. Akhiezer and M. G. Krein (eds.), On Certain Questions of the Theory of Moments [in Russian], Gosudarstvennoe Obedinennoe Nauchno-Tekhnicheskoe Izdatel'stvo, Kharkov (1938).

V. L. Dol'nikov, “On a combinatorial inequality,” Sib. Mat. Zh.,29, No. 3, 53–58 (1988).