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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On certain Boolean algebras $ \mathcal{P}(\omega)/I$


Authors: Winfried Just and Adam Krawczyk
Journal: Trans. Amer. Math. Soc. 285 (1984), 411-429
MSC: Primary 04A20; Secondary 03E50
MathSciNet review: 748847
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Abstract: We consider possible isomorphisms between algebras of the form $ \mathcal{P}(\omega)/I$, assuming $ {\rm {CH}}$. In particular, the solution of a problem of Erdös and Ulam is given. We include some remarks on the completeness of such algebras.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0748847-1
PII: S 0002-9947(1984)0748847-1
Article copyright: © Copyright 1984 American Mathematical Society