Proof of Radon's theorem by lowering the dimension
| Autor: | Kolpakov, Egor |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Matematicheskoye Prosveshcheniye, 23 (2019), 130-133 |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: Russian language, 1 picture |
| Databáze: | arXiv |
| Externí odkaz: |
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