Good Frames With A Weak Stability
Logic
2010-01-17 v2
Abstract
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^+}.
Keywords
Cite
@article{arxiv.0901.0852,
title = {Good Frames With A Weak Stability},
author = {Adi Jarden and Saharon Shelah},
journal= {arXiv preprint arXiv:0901.0852},
year = {2010}
}