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Strong Cardinals and Sets of Reals in Lω1(ℝ)

✍ Scribed by Ralf-Dieter Schindler

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
598 KB
Volume
45
Category
Article
ISSN
0044-3050

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✦ Synopsis

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~ω~ (ℝ) is weakly homogeneously Souslin, then there is an inner model with an inaccessible limit of strong cardinals.

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