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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$P$-points in random universes
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by Paul E. Cohen PDF
Proc. Amer. Math. Soc. 74 (1979), 318-321 Request permission

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 ${\text {ZFC}} + {\text {CH}}$.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 74 (1979), 318-321
  • MSC: Primary 54D40; Secondary 03E05, 03E40
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0524309-5
  • MathSciNet review: 524309