Strongly Determined Types

نویسندگان

  • Alexandre A. Ivanov
  • Dugald Macpherson
چکیده

The notion of a strongly determined type over A extending p is introduced , where p 2 S(A). A strongly determined extension of p over A assigns, for any model M A, a type q 2 S(M) extending p such that, if c realises q, then any elementary partial map M ! M which xes acl eq (A) pointwise is elementary over c. Examples are provided of many theories with strongly determined types, and some without. We also discuss an analogue of the Finite Equivalence Relation Theorem and a notion of multiplicity. An application to nite covers is given.

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عنوان ژورنال:
  • Ann. Pure Appl. Logic

دوره 99  شماره 

صفحات  -

تاریخ انتشار 1999