Lipschitz properties of semi-analytic sets
Annales de l'Institut Fourier, Volume 38 (1988) no. 4, pp. 189-213.

The existence of Lipschitz stratification, in the sense of Mostowski, for compact semi-analytic sets is proved. (This stratification ensures the constance of the Lipschitz type along each stratum). The proof is independent of the complex case, considered by Mostowski, and gives also some other Lipschitz properties of semi-analytic sets.

L’existence de stratification lipschitzienne, au sens de Mostowski, pour les ensembles semi-analytiques compacts est prouvée; (cette stratification donne la constance du type lipschitzienne le long de chaque strate). La preuve ne dépend pas du cas complexe, considéré par Mostowski, et donne aussi quelques autres propriétés lipschitziennes des ensembles semi-analytiques.

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     title = {Lipschitz properties of semi-analytic sets},
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Parusiński, Adam. Lipschitz properties of semi-analytic sets. Annales de l'Institut Fourier, Volume 38 (1988) no. 4, pp. 189-213. doi : 10.5802/aif.1154. http://archive.numdam.org/articles/10.5802/aif.1154/

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