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On the prime model property

Authors:	Ludomir Newelski

Institution:	Mathematical Institute, Polish Academy of Sciences, ul.Kopernika 18, 51-617 Wroclaw, Poland

Abstract:	Assume is superstable, $\Phi (x)$ is a formula over $\emptyset$ , $Q=\Phi (M^*)$ is countable and $K_Q=\{M: M$ is countable and $\Phi (M)=Q\}$ . We investigate models in assuming has the prime model property. We prove some corollaries on the number of models in . We show an example of an $\omega$ -stable and with having exactly 3 models.

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