On representing sets of an almost disjoint family of sets
1987 ◽
Vol 101
(3)
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pp. 385-393
Keyword(s):
For cardinal numbers λ, K, ∑ a (λ, K)-family is a family of sets such that || = and |A| = K for every A ε , and a (λ, K, ∑)-family is a (λ,K)-family such that |∪| = ∑. Two sets A, B are said to be almost disjoint ifand an almost disjoint family of sets is a family whose members are pairwise almost disjoint. A representing set of a family is a set X ⊆ ∪ such that X ∩ A = ⊘ for each A ε . If is a family of sets and |∪| = ∑, then we write εADR() to signify that is an almost disjoint family of ∑-sized representing sets of . Also, we define a cardinal number
1977 ◽
Vol 81
(3)
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pp. 523-523
Keyword(s):
1985 ◽
Vol 38
(2)
◽
pp. 198-206
Keyword(s):
1985 ◽
Vol 37
(4)
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pp. 730-746
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Keyword(s):
1983 ◽
Vol 93
(1)
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pp. 1-7
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Keyword(s):
1965 ◽
Vol 61
(1)
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pp. 75-79
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Keyword(s):
Keyword(s):
2012 ◽
Vol 64
(6)
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pp. 1378-1394
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