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- W2952401715 abstract "Given a finite set $X$ of points in $R^n$ and a family $F$ of sets generated by the pairs of points of $X$, we determine volumetric and structural conditions for the sets that allow us to guarantee the existence of a positive-fraction subfamily $F'$ of $F$ for which the sets have non-empty intersection. This allows us to show the existence of weak epsilon-nets for these families. We also prove a topological variation of the existence of weak epsilon-nets for convex sets." @default.
- W2952401715 created "2019-06-27" @default.
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- W2952401715 date "2015-06-06" @default.
- W2952401715 modified "2023-09-23" @default.
- W2952401715 title "Positive-fraction intersection results and variations of weak epsilon-nets" @default.
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