An Elementary Deduction of the Topological Radon Theorem from Borsuk-Ulam
نویسنده
چکیده
The Topological Radon Theorem states that, for every continuous function from the boundary of a (d + 1)-dimensional simplex into Rn, there exist a pair of disjoint faces in the domain whose images intersect in Rn. The similarity between that result and the classical Borsuk-Ulam Theorem is unmistakeable, but a proof that the Topological Radon Theorem follows from Borsuk-Ulam is not immediate. In this note we provide an elementary argument verifying that implication.
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عنوان ژورنال:
- Discrete & Computational Geometry
دوره 43 شماره
صفحات -
تاریخ انتشار 2010