IMO Shortlist 1987 problem 9
Dodao/la:
arhiva2. travnja 2012. Does there exist a set
![M](/media/m/f/7/f/f7f312cf6ba459a332de8db3b8f906c4.png)
in usual Euclidean space such that for every plane
![\lambda](/media/m/9/b/e/9be7eeb58b67ec913359062c0122ee80.png)
the intersection
![M \cap \lambda](/media/m/6/3/4/634afc20815b6c5ba3a0366277f4ab6a.png)
is finite and nonempty ?
Proposed by Hungary.
RemarkI'm not sure I'm posting this in a right Forum.
%V0
Does there exist a set $M$ in usual Euclidean space such that for every plane $\lambda$ the intersection $M \cap \lambda$ is finite and nonempty ?
Proposed by Hungary.
RemarkI'm not sure I'm posting this in a right Forum.
Izvor: Međunarodna matematička olimpijada, shortlist 1987