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- Andrés Eduardo Caicedo, John D Clemens, Clinton Conley, Benjamin D Miller
- 2009

We show that if X is a set and A ⊆ [X] n is non-empty and contains at most k pairwise disjoint elements, then a non-empty subset of X of cardi-nality strictly less than kn 2 is definable from A. We show that this result is nearly best possible. We also study bounds on the size of intersecting families of (≤ n)-element subsets from which no smaller such… (More)

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