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# Approximation by Rational Mappings, via Homotopy Theory

Published:2006-06-01
Printed: Jun 2006
• P. M. Gauthier
• E. S. Zeron
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## Abstract

Continuous mappings defined from compact subsets $K$ of complex Euclidean space $\cc^n$ into complex projective space $\pp^m$ are approximated by rational mappings. The fundamental tool employed is homotopy theory.
 Keywords: Rational approximation, homotopy type, null-homotopic
 MSC Classifications: 32E30 - Holomorphic and polynomial approximation, Runge pairs, interpolation 32C18 - Topology of analytic spaces

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