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Forking geometry on theories with an independent predicate

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Abstract

We prove that a simple theory of SU-rank 1 is n-ample if and only if the associated theory equipped with a predicate for an independent dense subset is n-ample for n at least 2.

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Author information

Authors and Affiliations

  1. Universidad de Los Andes, Cra 1 No 18A-10, Bogotá, Colombia

    Juan Felipe Carmona

  2. Institut Camille Jordan UMR5208, Université Lyon 1, Université de Lyon CNRS, 43 boulevard du 11 novembre 1918, 69622, Villeurbanne Cedex, France

    Juan Felipe Carmona

Authors
  1. Juan Felipe Carmona
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Correspondence to Juan Felipe Carmona.

Additional information

The author would like to thank Alexander Berenstein and Amador Martin-Pizarro for some useful remarks.

Supported by a grant from Mazda Fundation and by Colfuturo-ASCUN-Embajada Francesa.

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Carmona, J.F. Forking geometry on theories with an independent predicate. Arch. Math. Logic 54, 247–255 (2015). https://doi.org/10.1007/s00153-014-0411-x

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  • DOI: https://doi.org/10.1007/s00153-014-0411-x

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