English

Strongly dependent theories

Logic 2009-02-15 v4

Abstract

We further investigate the class of models of a strongly dependent (first order complete) theory T, continuing math.LO/0406440. If |A|+|T|<= mu, I subseteq C, |I| >=beth_{|T|^+}(mu) then some J subseteq I of cardinality mu^+ is an indiscernible sequence over A .

Keywords

Cite

@article{arxiv.math/0504197,
  title  = {Strongly dependent theories},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0504197},
  year   = {2009}
}