We exhibit relations between van Kampen-Flores, Conway-Gordon-Sachs and Radon theorems, by presenting direct proofs of some implications between them. The key idea is an interesting relation between the van Kampen and the Conway-Gordon-Sachs numbers for restrictions of a map of $(d+2)$-simplex to $\mathbb R^d$ to the $(d+1)$-face and to the $[d/2]$-skeleton.
翻译:我们展示了范坎彭-佛洛雷斯、康韦-哥登-萨克和拉登理论之间的关系,直接证明了它们之间的某些影响,关键的想法是范坎彭和康韦-哥登-萨克数字之间的一种有趣的关系,因为地图上限制(d+2)美元到(mathbb)美元至(d+1)美元面值和[d/2]美元-skeleton美元面值,限制(d+2)美元到(mathbb) R ⁇ d美元到(d+1)美元面值和[d/2]美元-skeleton美元面值。