Characterization of compact subsets of algebraic varieties in terms of Bernstein type inequalities
Tom 141 / 2000
Studia Mathematica 141 (2000), 221-234
DOI: 10.4064/sm-141-3-221-234
Streszczenie
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.
