Simplicity, and Stability in There

  title={Simplicity, and Stability in There},
  author={Byunghan Kim},
  journal={J. Symb. Log.},
Firstly, in this paper, we prove that the equivalence of simplicity and the symmetry of forking. Secondly, we attempt to recover deenability part of stability theory to simplicity theory. In particular, using elimination of hyperimaginaries we prove that for any supersimple T , canonical base of an amalgamation class P is the union of names of-deenitions of P, ranging over stationary L-formulas in P. Also, we prove that the same is true with stable formulas for an 1-based theory having… CONTINUE READING

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