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arXiv · 1307.6851

On Nash approximation of complex analytic sets in Runge domains

Janusz Adamus·Marcin Bilski
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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.

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Janusz Adamus, Marcin Bilski. 2013-07-25. On Nash approximation of complex analytic sets in Runge domains. https://doi.org/10.1016/j.jmaa.2014.09.070

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