Mathematics – Combinatorics
Scientific paper
2007-01-14
Mathematics
Combinatorics
7 pages
Scientific paper
Given a set of $s$ points and a set of $n^2$ lines in three-dimensional
Euclidean space such that each line is incident the $n$ points but no $n$ lines
are coplanar, then we have $s=\Omega(n^{11/4})$. This is the first nontrivial
answer to a question recently posed by Jean Bourgain.
Solymosi József
Tóth Csaba D.
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