On approximation of analytic sets |
Preprint
(2003)
Author(s):
M. Bilski, bilski(at)ii.uj.edu.pl
Jagiellonian University, Institute of Computer
Science, Nawojki 11, 30-072 Cracow, Poland
Pages: 15
Abstract: We give conditions sufficient for the existence of a sequence of
Nash sets convergent to a given analytic set. Moreover, for limit
sets which are k-sheeted analytic covers we additionally require that sets in approximating sequence are also
k-sheeted analytic
covers. Then we present an example of application of this theory to 2-dimensional analytic
sets.
Manuscripta Mathematica 114, (2004), 45-60.