Almost Galois ω-Stable Classes
نویسندگان
چکیده
Theorem. Suppose that an א0-presentable K is almost Galois ω-stable. If K has only countably many models in א1, then K is Galois ω-stable.
منابع مشابه
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Grossberg and VanDieren have started a program to develop a stability theory for tame classes (see [GrVa1]). We name some variants of tameness (Definitions 1.4 and 1.7) and prove the following. Theorem 0.1. Let K be an AEC with Löwenheim-Skolem number ≤ κ. Assume that K satisfies the amalgamation property and is κ-weakly tame and Galois-stable in κ. Then, K is Galois-stable in κ for all n < ω. ...
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Grossberg and VanDieren have started a program to develop a stability theory for tame classes (see [GrVa1]). We name some variants of tameness (Definitions 1.4 and 1.7) and prove the following. Theorem 0.1. Let K be an AEC with Löwenheim-Skolem number ≤ κ. Assume that K satisfies the amalgamation property and is κ-weakly tame and Galois-stable in κ. Then, K is Galois-stable in κ for all n < ω. ...
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ورودعنوان ژورنال:
- J. Symb. Log.
دوره 80 شماره
صفحات -
تاریخ انتشار 2015