Proof of Radon's theorem by lowering the dimension

Egor Kolpakov

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arXiv · 1903.11055

Proof of Radon's theorem by lowering the dimension

Egor Kolpakov

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Abstract

There is the classical Radon theorem. Given integer $d \geq 1$ and $d+2$ points in d-dimensional space $R^d$. Then these points can be divided into two disjoint subsets whose convex hulls have a non-empty intersection. The original proof of this theorem is usually used. In this article, this is another proof of it, by lowering the dimension.

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Egor Kolpakov. 2019-03-25. Proof of Radon's theorem by lowering the dimension. https://arxiv.org/abs/1903.11055

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