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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 iterated forcing extensions


Author: Judy Roitman
Journal: Proc. Amer. Math. Soc. 69 (1978), 314-318
MSC: Primary 02K05
MathSciNet review: 0469759
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Abstract: Selective ultrafilters exist in direct iterated ccc extensions whose length has uncountable cofinality, as do p-points which are not selective. Nonselective p-points also exist e.g. in an iterated Laver or Mathias extension of length $ {\omega _2}$ over a model of CH.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0469759-X
PII: S 0002-9939(1978)0469759-X
Article copyright: © Copyright 1978 American Mathematical Society