Good Frames With A Weak Stability

2009/01/07 by Adi Jarden, Saharon Shelah, Jarden, Adi +1 · 1 citation
Engineering · Mathematics · #Stability and Controllability of Differential Equations #math.LO

paper · pdf · doi:10.48550/arxiv.0901.0852

published as Ann. Pure Appl. Logic 164 No. 3 (2013) 135--191

arxiv created 2010/01/17 · arxiv updated 2010/02/08

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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