An Iteration Model violating the Singular Cardinals Hypothesis
نویسنده
چکیده
Models of Set Theory showing exotic behaviour at singular cardinals are usually constructed via forcing. The archetypical method is Prikry-Forcing [Pr1970], which has been generalized in various ways, as for example by Gitik and Magidor [GiMa1992]. It was observed early that Prikry generic sequences can be obtained as successive critical points in an iteration of the universe V by a normal ultrafilter ([Ka1994], see [De1978] for an exhausting analysis). In this paper iterations by stronger extenders are studied similarly and yield the following theorem:
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تاریخ انتشار 2005