Publikation:

Models of true arithmetic are integer parts of nice real closed fields

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Carl_255846.pdf
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2013

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http://nbn-resolving.de/urn:nbn:de:bsz:352-255846
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Exploring further the connection between exponentiation on real closed fields and the existence of an integer part modelling strong fragments of arithmetic, we demonstrate that each model of true arithmetic is an integer part of an exponential real closed field that is elementary equivalent to the reals with exponentiation and that each model of Peano arithmetic is an integer part of a real closed fields that admits an isomorphism between its additive and its multiplicative group of positive elements.

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510 Mathematik

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ISO 690CARL, Merlin, 2013. Models of true arithmetic are integer parts of nice real closed fields
BibTex
@unpublished{Carl2013Model-25584,
  year={2013},
  title={Models of true arithmetic are integer parts of nice real closed fields},
  author={Carl, Merlin}
}
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