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Approximation by Rational Mappings, via Homotopy Theory |
Published:2006-06-01
Printed: Jun 2006
Printed: Jun 2006
- P. M. Gauthier
- E. S. Zeron
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 |