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Supercompact Cardinals, Sets of Reals, and Weakly Homogeneous Trees

โœ Scribed by W. Hugh Woodin


Book ID
123636046
Publisher
National Academy of Sciences
Year
1988
Tongue
English
Weight
953 KB
Volume
85
Category
Article
ISSN
0027-8424

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Strong Cardinals and Sets of Reals in Lฯ‰
โœ Ralf-Dieter Schindler ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 598 KB

## Abstract We generalize results of [3] and [1] to hyperprojective sets of reals, viz. to more than finitely many strong cardinals being involved. We show, for example, that if every set of reals in L~ฯ‰~ (โ„) is weakly homogeneously Souslin, then there is an inner model with an inaccessible limit o