Randomizing O-minimal Theories

نویسندگان

  • URI ANDREWS
  • ISAAC GOLDBRING
چکیده

The randomization of a complete first order theory T is the complete continuous theory T R with two sorts, a sort for random elements of models of T , and a sort for events in an underlying atomless probability space. We show that if T has the exchange property and acl = dcl, then T R has a strict independence relation in the home sort, and hence is real rosy. In particular, if T is o-minimal, then T R is real rosy.

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تاریخ انتشار 2016