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We exhibit relations between van Kampen-Flores, Conway-Gordon-Sachs and Radontheorems, by presenting direct proofs of some implications between them. Thekey idea is an interesting relation between the van Kampen and theConway-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.

On van Kampen-Flores, Conway-Gordon-Sachs and Radon theorems