Dependent theories and the generic pair conjecture

  title={Dependent theories and the generic pair conjecture},
  author={Saharon Shelah},
  journal={Communications in Contemporary Mathematics},
  • Saharon Shelah
  • Published 2007
  • Mathematics
  • Communications in Contemporary Mathematics
  • We try to understand complete types over a somewhat saturated model of a complete first-order theory which is dependent (previously called NIP), by "decomposition theorems for such types". Our thesis is that the picture of dependent theory is the combination of the one for stable theories and the one for the theory of dense linear order or trees (and first, we should try to understand the quite saturated case). As a measure of our progress, we give several applications considering some test… CONTINUE READING


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