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Measures of sum-free intersecting families
Let α be the supremum of all δ such that there is a sequence 〈An〉n=1 of measurable subsets of (0, 1) with the property that each An has measure at least δ and for all n,m ∈ N, An ∩ Am ∩ An+m = ∅. For k ∈ N, let αk be the corresponding supremum for finite sequences 〈An〉n=1. We show that α = lim k→∞ αk and find the exact value of αk for k ≤ 41. In the process of finding these exact values, we als...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2017
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2017.04.009