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Approximation by Rational Mappings, via Homotopy Theory

Published online by Cambridge University Press:  20 November 2018

P. M. Gauthier  and
E. S. Zeron
P. M. Gauthier
Affiliation:
Département de mathématiques et statistique, Université de Montréal, Centreville, Montréal, Québec, H3C 3J7 email: gauthier@dms.umontreal.ca
E. S. Zeron
Affiliation:
Departamento de Matemáticas, CINVESTAV, Apdo. Postal 14-740, México DF, 07000 México email: eszeron@math.cinvestav.mx
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Abstract

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Continuous mappings defined from compact subsets $K$ of complex Euclidean space ${{\mathbb{C}}^{n}}$ into complex projective space ${{\mathbb{P}}^{m}}$ are approximated by rational mappings. The fundamental tool employed is homotopy theory.

Keywords

32E3032C18Rational approximationhomotopy typenull-homotopic
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 2 , 01 June 2006 , pp. 237 - 246
Copyright
Copyright © Canadian Mathematical Society 2006

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