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arXiv · 0906.2262

Analogues of the central point theorem for families with $d$-intersection property in $\mathbb R^d$

R. N. Karasev
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Abstract

In this paper we consider families of compact convex sets in $\mathbb R^d$ such that any subfamily of size at most $d$ has a nonempty intersection. We prove some analogues of the central point theorem and Tverberg's theorem for such families.

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R. N. Karasev. 2012-11-29. Analogues of the central point theorem for families with $d$-intersection property in $\mathbb R^d$. https://doi.org/10.1007/s00493-012-2603-5

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