A Note on Rational Approximation with Respect to Metrizable Compactifications of the Plane
Keywords:
compactification, Arakelian’s theorem, Mergelyan’s theorem, Runge’s theorem, uniform approximation in the complex domain.Abstract
In the present note we examine possible extensions of Runge, Mergelyan and Arakelian Theorems, when the uniform approximation is meant with respect to the metric ρ of a metrizable compactification (S, ρ) of the complex plane C.
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