Dependent first order theories, continued

Saharon Shelah

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arXiv · math/0406440

Dependent first order theories, continued

Saharon Shelah

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Abstract

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.

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Saharon Shelah. 2013-02-19. Dependent first order theories, continued. https://arxiv.org/abs/math/0406440

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