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Normal triangulations in o-minimal structures

Baro González, Elías (2010) Normal triangulations in o-minimal structures. The Journal of Symbolic Logic, 75 (1). pp. 275-288. ISSN 0022-4812

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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 K0 of K and a definable triangulation '0: |K0| ! |K| of |K| partitioning S1, . . . , Sl with '0 definably homotopic to id|K|. As an application of this result we obtain the semialgebraic Hauptvermutung.

Item Type:Article
Uncontrolled Keywords:Normal triangulation; o-minimal; Semialgebraic; Hauptvermutung
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:14438
Deposited On:23 Jan 2012 11:36
Last Modified:06 Feb 2014 10:01

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