Families of sets whose pairwise intersections have prescribed cardinals or order types Corrigenda
1977 ◽
Vol 81
(3)
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pp. 523-523
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(i) J. Baumgartner has kindly drawn our attention to the fact that Theorem 2 as stated in (1) is false. A counter example is the case in which m = ℵ2; n = ℵ1; p = ℵ0. For by reference (3) of the paper (1) there is an almost disjoint family (Aγ: γ < ω1) of infinite subsets of ω̲ Put Aν = ω̲ for ω1 ≤ ν < ω2. Then, contrary to the assertion of that theorem, all conditions of Theorem 2 are satisfied. However, Theorem 2 becomes correct if the hypothesisis strengthened toIn fact, Baumgartner has proved the desired conclusion under the weaker hypothesis
1987 ◽
Vol 101
(3)
◽
pp. 385-393
Keyword(s):
1985 ◽
Vol 38
(2)
◽
pp. 198-206
Keyword(s):
1985 ◽
Vol 37
(4)
◽
pp. 730-746
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Keyword(s):
1983 ◽
Vol 93
(1)
◽
pp. 1-7
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Keyword(s):
Keyword(s):
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2012 ◽
Vol 64
(6)
◽
pp. 1378-1394
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