Abstract Decomposition Theorem and Applications

  title={Abstract Decomposition Theorem and Applications},
  author={Rami Grossberg and Olivier Lessmann},
DECOMPOSITION THEOREM AND APPLICATIONS RAMI GROSSBERG AND OLIVIER LESSMANN Abstract. In this paper, we prove a decomposition theorem for abstract elementary classes K with the amalgamation property, under the assumption that certain axioms regarding independence, existence of some prime models, and regular types are satisfied. This context encompasses the following: (1) K is the class of models of an א0-stable first order theory. (2) K is the class of Faא0 -saturated models of a superstable… CONTINUE READING