%0 Journal Article
%A Baro González, Elías
%T Normal triangulations in o-minimal structures
%D 2010
%@ 0022-4812
%U https://hdl.handle.net/20.500.14352/42040
%X 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.
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