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

 

Random reals and Souslin trees


Author: Richard Laver
Journal: Proc. Amer. Math. Soc. 100 (1987), 531-534
MSC: Primary 03E35; Secondary 03E05
MathSciNet review: 891159
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Abstract: It is consistent that there are no Souslin trees in any random extension of $ V$; thus, the continuum can be singular of cofinality $ {\omega _1}$ with Souslin's hypothesis holding.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0891159-4
PII: S 0002-9939(1987)0891159-4
Article copyright: © Copyright 1987 American Mathematical Society