Abstract
AbstractThe Intermediate Value Theorem is used to give an elementary proof of a Borsuk–Ulam theorem of Adams, Bush and Frick [1] that if is a continuous function on the unit circle S1 in such that for all , then there is a finite subset X of S1 of diameter at most (in the standard metric in which the circle has circumference of length 2π) such the convex hull of contains .
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