Lipschitz properties of semi-analytic sets. (English) Zbl 0631.32006

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.


32B20 Semi-analytic sets, subanalytic sets, and generalizations
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