CONSTRUCTING REGULAR ULTRAFILTERS FROM A MODEL-THEORETIC POINT OF VIEW

@article{Malliaris2012CONSTRUCTINGRU,
  title={CONSTRUCTING REGULAR ULTRAFILTERS FROM A MODEL-THEORETIC POINT OF VIEW},
  author={Maryanthe Malliaris and Saharon Shelah},
  journal={Transactions of the American Mathematical Society},
  year={2012},
  volume={367},
  pages={8139-8173}
}
  • Maryanthe Malliaris, Saharon Shelah
  • Published 2012
  • Mathematics
  • Transactions of the American Mathematical Society
  • This paper contributes to the set-theoretic side of understanding Keisler's order. We consider properties of ultralters which aect saturation of unstable theories: the lower conality lcf(@0,D) of @0 modulo D, saturation of the minimum unstable theory (the random graph), exi- bility, goodness, goodness for equality, and realization of symmetric cuts. We work in ZFC except when noted, as several constructions appeal to complete ultralters thus assume a measurable car- dinal. The main results are… CONTINUE READING

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