Characterization of compact subsets of algebraic varieties in terms of Bernstein type inequalities

Baran, M. ; Pleśniak, W.

Studia Mathematica, Tome 141 (2000), p. 221-234 / Harvested from The Polish Digital Mathematics Library

Résumé

We show that in the class of compact sets K in $ℝ^n$ with an analytic parametrization of order m, the sets with Zariski dimension m are exactly those which admit a Bernstein (or a van der Corput-Schaake) type inequality for tangential derivatives of (the traces of) polynomials on K.

Détail

Publié le : 2000-01-01

Zbl 0987.41005

EUDML-ID : urn:eudml:doc:216781

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