-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 | References | Similar Articles | Additional Information

Abstract: A pathway is defined as an increasing sequence of subsets of which satisfy certain closure and boundedness properties. The existence of a pathway is shown to imply the existence of a *P*-point in . Pathways are shown to exist in any random extension of a model of .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1979-0524309-5

Keywords:
Stone-Cech compactification,
*P*-points,
random forcing

Article copyright:
© Copyright 1979
American Mathematical Society