MathDB
Miklós Schweitzer 1985- Problem 2

Source:

September 5, 2016
college contests

Problem Statement

2. Let SS be a given finite set of hyperplanes in Rn\mathbb{R}^n, and let OO be a point. Show that there exists a compact set K⊆RnK \subseteq \mathbb{R}^n containing OO such that the orthogonal projection of any point of KK onto any hyperplane in SS is also in KK. (G.37) [Gy. Pap]
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