Is there an example of a family of convex sets with this property?
"Assume we have n convex sets and intersection of any j sets of this sets is non empty which j = 2, 3, ... , n-1 and intersection of all sets (n sets) is empty."
2026-05-06 04:11:13.1778040673
intersection of convex sets
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Take three general lines in the plane.
Any two of them intersect in a single point, but since they are not concurrent the intersection of all of them is empty.