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March 2010 Normal triangulations in o-minimal structures
Elías Baro
J. Symbolic Logic 75(1): 275-288 (March 2010). DOI: 10.2178/jsl/1264433921

Abstract

Let ℛ 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.

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Elías Baro. "Normal triangulations in o-minimal structures." J. Symbolic Logic 75 (1) 275 - 288, March 2010. https://doi.org/10.2178/jsl/1264433921

Information

Published: March 2010
First available in Project Euclid: 25 January 2010

zbMATH: 1207.03048
MathSciNet: MR2605894
Digital Object Identifier: 10.2178/jsl/1264433921

Subjects:
Primary: 03C64 , 14P10 , 57Q25

Keywords: Hauptvermutung , normal triangulation , o-minimal , semialgebraic

Rights: Copyright © 2010 Association for Symbolic Logic

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Vol.75 • No. 1 • March 2010
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