## $P$-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 ${\text {ZFC}} + {\text {CH}}$.

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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