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Normal triangulations in o-minimal structures

Published online by Cambridge University Press:  12 March 2014

Elías Baro
Elías Baro*
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain, E-mail: elias.baro@uam.es
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Abstract

Let be an o-minimal structure over a real closed field R. Given a simplicial complex K and some definable subsets S1, …, Sl of its realization ∣K∣ in R we prove that there exist a subdivision K′ of K and a definable triangulation φ′: ∣K′∣ → ∣K∣ of ∣K∣ partitioning S1, …, Sl with φ′ definably homotopic to id∣K∣. As an application of this result we obtain the semialgebraic Hauptvermutung.

Keywords

normal triangulationo-minimalsemialgebraicHauptvermutung
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 1 , March 2010 , pp. 275 - 288
Copyright
Copyright © Association for Symbolic Logic 2010

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References

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