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1 results

  • Lovely pairs of models: the non first order case

  • Itay Ben-Yaacov
  • Journal:
    The Journal of Symbolic Logic / Volume 69 / Issue 3 / September 2004
    Published online by Cambridge University Press:
    12 March 2014, pp. 641-662
    Print publication:
    September 2004

  • We prove that for every simple theory T (or even simple thick compact abstract theory) there is a (unique) compact abstract theory whose saturated models are the lovely pairs of T. Independence-theoretic results that were proved in [5] when is a first order theory are proved for the general case: in particular is simple and we characterise independence.