Good Frames With A Weak Stability

Details Good Frames With A Weak Stability Good Frames With A Weak Stability

2009-01-07

arxiv.org/abs/0901.0852v2

Mathematics

Logic

Scientific paper

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

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