A stronger version of Bárány's theorem in the plane
نویسندگان
چکیده
First, we may assume, without loss of generality, that the points of the sets > > are located on the unit circle, by projecting these points on the circumference of the circle. Second, by Carathéodory Theorem (see [3]), we may assume, without loss of generality, that the cardinality of each set + is at most ? , for 45X2= >8 @? . In fact, we can further assume that * + * 5? , for 45X2' 98( @? , since we can extend
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