Some Remarks on the Maximality of Inner Models
نویسنده
چکیده
The first half of this paper constitutes the lecture given at the conference meeting, and contains some general discussion and a survey of the area. The second half gives proofs of some new results that were mentioned but not given. The reader interested only in these, (the theorems of the abstract) can turn to §2.2 Theorem 12 and §2.3. We assume at those points a working familiarity with fine structural arguments, and in particular with [19] and [23]. Themes: 1. Maximality properties of inner models. 2. Elementary embeddings. 3. Some connections through the concept of Jónsson cardinal.
منابع مشابه
Some remarks on the maximality
We consider maximality properties of inner models, elementary embeddings between them, and survey some connections through the concept of JJ onsson cardinal. In particular we give proofs of: Theorem Assume there is no inner model with a strong cardinal and K is the core model. If is a regular JJ onsson cardinal, then (i) + = +K ; (ii) f < j regular, + = +K g is stationary in ; (iii) 8A , A # ex...
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