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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 Rational approximation, homotopy type, null-homotopic
MSC Classifications: 32E30, 32C18 show english descriptions Holomorphic and polynomial approximation, Runge pairs, interpolation
Topology of analytic spaces
32E30 - Holomorphic and polynomial approximation, Runge pairs, interpolation
32C18 - Topology of analytic spaces
 

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