Lipschitz triangulations
Valette, Guillaume
Illinois J. Math., Tome 49 (2005) no. 2, p. 953-979 / Harvested from Project Euclid
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In this paper we introduce a new tool called ``Lipschitz triangulations'', which gives combinatorially all information about the metric type. We show the existence of such triangulations for semi-algebraic sets. As a consequence we obtain a bi-Lipschitz version of Hardt's theorem. Hardt's theorem states that, given a family definable in an o-minimal structure, there exists (generically) a trivialization which is definable in this o-minimal structure. We show that, for a polynomially bounded o-minimal structure, there exists such an isotopy which is bi-Lipschitz as well.
Publié le : 2005-07-15
Classification:  14P10,  14P15,  32B25 
@article{1258138230,
     author = {Valette, Guillaume},
     title = {Lipschitz triangulations},
     journal = {Illinois J. Math.},
     volume = {49},
     number = {2},
     year = {2005},
     pages = { 953-979},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138230}
}

Valette, Guillaume. Lipschitz triangulations. Illinois J. Math., Tome 49 (2005) no. 2, pp.  953-979. http://gdmltest.u-ga.fr/item/1258138230/