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Representing Scott sets in algebraic settings

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Abstract

We prove that for every Scott set S there are S-saturated real closed fields and S-saturated models of Presburger arithmetic.

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Authors and Affiliations

  1. Kingsborough Community College, Brooklyn, NY, USA

    Alf Dolich

  2. University of Notre Dame, Notre Dame, IN, USA

    Julia F. Knight

  3. Wellesley College, Wellesley, MA, USA

    Karen Lange

  4. University of Illinois at Chicago, Chicago, IL, USA

    David Marker

Authors
  1. Alf Dolich
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  2. Julia F. Knight
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  3. Karen Lange
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  4. David Marker
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Corresponding author

Correspondence to David Marker.

Additional information

Karen Lange: Partially supported by National Science Foundation grant DMS-1100604.

This work was begun at a workshop on computable stability theory held at the American Institute of Mathematics in August 2013.

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Dolich, A., Knight, J.F., Lange, K. et al. Representing Scott sets in algebraic settings. Arch. Math. Logic 54, 631–637 (2015). https://doi.org/10.1007/s00153-015-0431-1

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  • DOI: https://doi.org/10.1007/s00153-015-0431-1

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