Some remarks on the maximality
نویسنده
چکیده
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 # exists. Theorem Assume there is no inner model with a Woodin cardinal, there is a measurable cardinal , and K is the Steel core model. If < is a regular JJ onsson cardinal, then (i) and (ii) above hold.
منابع مشابه
Some Remarks on the Maximality of Inner Models
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