Good Frames With A Weak Stability

Adi Jarden; Saharon Shelah

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arXiv · 0901.0852

Good Frames With A Weak Stability

Adi Jarden·Saharon Shelah

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Abstract

Let K be an abstract elementary class of models. Assume that there are less than the maximal number of models in K_{λ^{+n}} (namely models in K of power λ^{+n}) for all n. We provide conditions on K_λ, that imply the existence of a model in K_{λ^{+n}} for all n. We do this by providing sufficiently strong conditions on K_λ, that they are inherited by a properly chosen subclass of K_{λ^+}.

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Adi Jarden, Saharon Shelah. 2010-01-17. Good Frames With A Weak Stability. https://arxiv.org/abs/0901.0852

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