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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$ P$-points in random universes


Author: Paul E. Cohen
Journal: Proc. Amer. Math. Soc. 74 (1979), 318-321
MSC: Primary 54D40; Secondary 03E05, 03E40
MathSciNet review: 524309
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Abstract: A pathway is defined as an increasing sequence of subsets of $ ^\omega \omega $ which satisfy certain closure and boundedness properties. The existence of a pathway is shown to imply the existence of a P-point in $ \beta N\backslash N$. Pathways are shown to exist in any random extension of a model of $ {\text{ZFC}} + {\text{CH}}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0524309-5
PII: S 0002-9939(1979)0524309-5
Keywords: Stone-Cech compactification, P-points, random forcing
Article copyright: © Copyright 1979 American Mathematical Society