Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4662189 | Annals of Pure and Applied Logic | 2009 | 51 Pages |
Abstract
We extend the core model induction technique to a choiceless context, and we exploit it to show that each one of the following two hypotheses individually implies that , the Axiom of Determinacy, holds in the L(R) of a generic extension of : (a) every uncountable cardinal is singular, and (b) every infinite successor cardinal is weakly compact and every uncountable limit cardinal is singular.
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Physical Sciences and Engineering
Mathematics
Logic