On Keisler singular-like models II

Shahram Mohsenipour

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arXiv · 1401.6535

On Keisler singular-like models II

Shahram Mohsenipour

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Abstract

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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Shahram Mohsenipour. 2015-09-20. On Keisler singular-like models II. https://arxiv.org/abs/1401.6535

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