We study generalized amalgamation properties in simple theories. We formulate a notion of generalized amalgamation in such a way so that the properties are preserved when we pass from T to Te q or Th e q; we provide several equivalent ways of formulating the notion of generalized amalgamation. We define two distinct hierarchies of simple theories characterized by their amalgamation properties; examples are given to show the difference between the hierarchies.
Bibliographical noteFunding Information:
Byunghan Kim was supported by a KOSEF grant R01-2006-000-10638-0.
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