Families of partial representing sets
1985 ◽
Vol 38
(2)
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pp. 198-206
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AbstractAssume GCH. Let κ, μ, Σ be cardinals, with κ infinite. Let be a family consisting of λ pairwise almost disjoint subsets of Σ each of size κ, whose union is Σ. In this note it is shown that for each μ with 1 ≤ μ ≤min(λ, Σ), there is a “large” almost disjoint family of μ-sized subsets of Σ, each member of having non-empty intersection with at least μ members of the family .
1983 ◽
Vol 93
(1)
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pp. 1-7
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1985 ◽
Vol 37
(4)
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pp. 730-746
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Keyword(s):
1977 ◽
Vol 81
(3)
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pp. 523-523
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1987 ◽
Vol 101
(3)
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pp. 385-393
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2012 ◽
Vol 64
(6)
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pp. 1378-1394
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