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subset Y of X with property that there is no disk K such that K\cap X = Y

Source: Austrian - Polish 1995 APMC

May 3, 2020
Subsetssetcombinatorial geometrycombinatoricsdisks

Problem Statement

Let X={A1,A2,A3,A4}X= \{A_1, A_2, A_3, A_4\} be a set of four distinct points in the plane. Show that there exists a subset YY of XX with the property that there is no (closed) disk KK such that K∩X=YK\cap X = Y.
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