A main tool in studying topological properties of sets definable in o-minimal structures is the Cell Decomposition Theorem. The present paper proposes its metric counterpart based on the idea of a Lipschitz cell. In contrast to earlier results, we give an algorithm of a Lipschitz cell decomposition involving only permutations of variables as changes of coordinates.
Publié le : 2008-05-15
Classification:
32B20,
14P10,
32S60,
51N20,
51F99
@article{1254403731,
author = {Paw\l ucki, Wies\l aw},
title = {Lipschitz cell decomposition in o-minimal structures I},
journal = {Illinois J. Math.},
volume = {52},
number = {1},
year = {2008},
pages = { 1045-1063},
language = {en},
url = {http://dml.mathdoc.fr/item/1254403731}
}
Pawłucki, Wiesław. Lipschitz cell decomposition in o-minimal structures I. Illinois J. Math., Tome 52 (2008) no. 1, pp. 1045-1063. http://gdmltest.u-ga.fr/item/1254403731/