
doi: 10.1007/pl00009349
This paper contains a very short elementary proof that if \({\mathcal H}\) is a finite family of \(d\)-intervals (a \(d\)-interval is a union of closed intervals in the line) containing no \(k+1\) pairwise disjoint members then the minimum number of points that intersect every member of \({\mathcal H}\) is \(\leq 2d^2k\).
transversal, matching, finite family of \(d\)-intervals, Helly-type theorems and geometric transversal theory, piercing
transversal, matching, finite family of \(d\)-intervals, Helly-type theorems and geometric transversal theory, piercing
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