On Nash approximation of complex analytic sets in Runge domains
Complex Variables
2017-09-29 v2
Abstract
We prove that every complex analytic set X in a Runge domain D can be approximated by Nash sets on relatively compact subdomains of D. We give a necessary and sufficient condition for a complex analytic set X to admit a Nash approximation which coincides with X along its given subsets.
Cite
@article{arxiv.1307.6851,
title = {On Nash approximation of complex analytic sets in Runge domains},
author = {Janusz Adamus and Marcin Bilski},
journal= {arXiv preprint arXiv:1307.6851},
year = {2017}
}
Comments
14 pages; Theorem 4.5 added; proof of Proposition 4.2 simplified