Local approximation of analytic sets by Nash sets. II


M. Bilski, bilski(at)ii.uj.edu.pl
  Jagiellonian University, Institute of Computer Science, Nawojki 11, 30-072 Cracow, Poland

Pages: 18

Abstract: We show that every analytic subset of Cm of pure dimension n can be locally approximated by a sequence of Nash sets of pure dimension n. The approximation is expressed by means of the notion of local uniform convergence which is next replaced by the stronger convergence of holomorphic chains and the convergence of the currents of integration over the considered sets.

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