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Miklós Schweitzer
1985 Miklós Schweitzer
2
2
Part of
1985 Miklós Schweitzer
Problems
(1)
Miklós Schweitzer 1985- Problem 2
Source:
9/5/2016
2. Let
S
S
S
be a given finite set of hyperplanes in
R
n
\mathbb{R}^n
R
n
, and let
O
O
O
be a point. Show that there exists a compact set
K
⊆
R
n
K \subseteq \mathbb{R}^n
K
⊆
R
n
containing
O
O
O
such that the orthogonal projection of any point of
K
K
K
onto any hyperplane in
S
S
S
is also in
K
K
K
. (G.37) [Gy. Pap]
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