关于Keisler类奇异模型II
On Keisler singular-like models II
摘要：
Keisler证明了如果$θ$是强极限基数，$λ$是奇异基数，则传递关系$θ\longrightarrowλ$成立。在以前的文章中，我们研究了当进一步假设$θ$是正则的时，在Keisler转移定理的证明中产生的类$λ$模型的初始初等子模型，即，$θ$是非常不可访问的。在本文中，我们处理一个更困难的情况。几年前阿里Enayat问作者是否Keisler的奇异类模型可以有基本的结束扩展。我们对这个问题给予肯定的回答。
英文摘要：
Keisler proved that if $θ$ is a strong limit cardinal and $λ$ is a singular cardinal, then the transfer relation $θ\longrightarrowλ$ holds. In a previous paper, we studied initial elementary submodels of the $λ$-like models produced in the proof of Keisler's transfer theorem when $θ$ is further assumed to be regular i.e., $θ$ is strongly inaccessible. In this paper we deal with a much more difficult situation. Some years ago Ali Enayat asked the author whether Keisler's singular-like models can have elementary end extensions. We give a positive answer to this question.
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