Displaying similar documents to “On semi-analytic and subanalytic geometry”

Lipschitz properties of semi-analytic sets

Adam Parusiński (1988)

Annales de l'institut Fourier

Similarity:

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.

On some global semianalytic sets

Abdelhafed Elkhadiri (2013)

Annales de l’institut Fourier

Similarity:

We give some structures without quantifier elimination but in which the closure, and hence the interior and the boundary, of a quantifier free definable set is also a quantifier free definable set.