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Partition subalgebras for maximal almost disjoint families

✍ Scribed by Alan Dow; Jinyuan Zhou


Book ID
104307188
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
345 KB
Volume
117
Category
Article
ISSN
0168-0072

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✦ Synopsis


Partitioner algebras are deÿned by Baumgartner and Weese (Trans. Amer. Math. Soc. 274 (2) (1982) 619) as a natural tool for studying the properties of maximal almost disjoint families of subsets of !. We prove from PFA + and ♦(S 2 0 ) that there exists a partitioner algebra which contains a subalgebra which is not representable as a partitioner algebra.