Tall Cardinals in Extender Models
نویسندگان
چکیده
Assuming that there is no inner model with a Woodin cardinal, we obtain characterization of λ-tall cardinals in extender models are iterable. In particular, prove such models, cardinal κ tall if and only it either strong or measurable limit cardinals.
منابع مشابه
Tall , Strong , and Strongly Compact Cardinals ∗ † Arthur
We construct three models in which there are different relationships among the classes of strongly compact, strong, and non-strong tall cardinals. In the first two of these models, the strongly compact and strong cardinals coincide precisely, and every strongly compact/strong cardinal is a limit of non-strong tall cardinals. In the remaining model, the strongly compact cardinals are precisely c...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 2021
ISSN: ['0029-4527', '1939-0726']
DOI: https://doi.org/10.1215/00294527-2021-0023