Remarks on partitioner algebras
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- by Alan Dow and Ryszard Frankiewicz PDF
- Proc. Amer. Math. Soc. 113 (1991), 1067-1070 Request permission
Abstract:
Partitioner algebras are defined in [1] and are a natural tool for studying the properties of maximal almost disjoint families of subsets of $\omega$. We answer negatively two questions which were raised in [1]. We prove that there is a model in which the class of partitioner algebras is not closed under quotients and that it is consistent that there is a Boolean algebra of cardinality ${\aleph _1}$ which is not a partitioner algebra.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 1067-1070
- MSC: Primary 03E05
- DOI: https://doi.org/10.1090/S0002-9939-1991-1062385-X
- MathSciNet review: 1062385