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Dependent first order theories, continued

逻辑 2013-02-20 v2

摘要

A dependent theory is a (first order complete theory) T which does not have the independence property. A main result here is: if we expand a model of T by the traces on it of sets definable in a bigger model then we preserve its being dependent. Another one justifies the cofinality restriction in the theorem (from a previous work) saying that pairwise perpendicular indiscernible sequences, can have arbitrary dual-cofinalities in some models containing them.

关键词

引用

@article{arxiv.math/0406440,
  title  = {Dependent first order theories, continued},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0406440},
  year   = {2013}
}

备注

65 pages