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A theorem on families of sets

✍ Scribed by Bernt Lindström


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
171 KB
Volume
13
Category
Article
ISSN
0097-3165

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Watanabe, M., Arrow relations on families of finite sets, Discrete Mathematics 94 (1991) 53-64. Let n, m and k be positive integers. Let X be a set of cardinality n, and let 9 be a family of subsets of X. We write (n, m)-, (n -1, mk), when for all 9 with (S( em, there exists an element x of X such t