The strength of choiceless patterns of singular and weakly compact cardinals
نویسندگان
چکیده
منابع مشابه
The strength of choiceless patterns of singular and weakly compact cardinals
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 AD, the Axiom of Determinacy, holds in the L(R) of a generic extension of HOD: (a) ZF + every uncountable cardinal is singular, and (b) ZF + every infinite successor cardinal is weakly compact and every uncountable limit cardinal...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2009
ISSN: 0168-0072
DOI: 10.1016/j.apal.2008.12.001