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Spectra of Atomic Theories

Published online by Cambridge University Press:  12 March 2014

Uri Andrews  and
Julia F. Knight
Uri Andrews
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, WI 53706-1388, USA, E-mail: andrews@math.wisc.edu
Julia F. Knight
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA, E-mail: knight.1@nd.edu
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Abstract

For a countable structure , the spectrum is the set of Turing degrees of isomorphic copies of . For a complete elementary first order theory T, the spectrum is the set of Turing degrees of models of T. We answer a question from [1] by showing that there is an atomic theory T whose spectrum does not match the spectrum of any structure.

Keywords

Primary 03C57
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 4 , December 2013 , pp. 1189 - 1198
Copyright
Copyright © Association for Symbolic Logic 2009

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References

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