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Transfer methods for o-minimal topology

Published online by Cambridge University Press:  12 March 2014

Alessandro Berarducci  and
Margarita Otero
Alessandro Berarducci
Affiliation:
Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, 56127 Pisa, Italy, E-mail: [email protected]
Margarita Otero
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain, E-mail: [email protected]
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Abstract

Let M be an o-minimal expansion of an ordered field. Let φ be a formula in the language of ordered domains. In this note we establish some topological properties which are transferred from φM to φR and vice versa. Then, we apply these transfer results to give a new proof of a result of M. Edmundo—based on the work of A. Strzebonski—showing the existence of torsion points in any definably compact group defined in an o-minimal expansion of an ordered field.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 68 , Issue 3 , September 2003 , pp. 785 - 794
Copyright
Copyright © Association for Symbolic Logic 2003

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References

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