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Topic Archive: Scott sets

Model theory seminarFriday, November 7, 201410:45 amGC5382

David Marker

Representing Scott sets in algebraic settings

University of Illinois at Chicago

The longstanding problem of representing Scott sets as standard systems of models of Peano Arithmetic is one of the most vexing in the subject. We show that the analogous question has a positive solution for real closed fields and Presburger arithmetic. This is joint work with Alf Dolich, Julia Knight and Karen Lange.