一个特殊d-凸性空间中的Tverberg定理

Tverberg Theorem in a Special D-convex Space

Tverberg定理是著名的Radon定理的推广。J.Eckhoff将Tverberg定理推广到一般的凸性空间中,并给出J.Eckhoff猜想。证明了对一特殊的d-凸性空间J.Eckhoff猜想成立。

Tverberg theorem is the extension of famous Radon theorem.. J. Eckhoff extended the Tverberg theorem to general convex space and gave the J. Eckhoff conjecture. In this paper, the author proved that the Tverherg theorem is also applicable to a special d-convex space.