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francesco
Posts:
1
From:
Foggia
Registered:
11/20/09


Intersection of convex sets
Posted:
Nov 20, 2009 1:31 PM


Given n regular bounded convex sets in R^{k} such that the intersection of all boundaries is non empty. Take the ceiling part of n/2 +1=M. if n=5 then M=3, n=7 then M=4 and so on. And n is an odd integer. The convex sets are k dimensional subsets in the Lebesque measure's sense.
Can I say that M interiors of the initial convex sets have an intersection non empty?
P.S. The numbers n and k are not dependent.
Thanks for your help.



