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Daniel McGinnis, Applications of the KKM theorem to problems in discrete geometry
Daniel McGinnis, Applications of the KKM theorem to problems in discrete geometry
We present the KKM theorem and a recent proof method utilizing it that has proven to be very useful for problems in discrete geometry. For example, the method was used to show that for a planar family of convex sets with the property that every three sets are pierced by a line, there are three …