Geodesic
Approximation by Rational Mappings, via Homotopy Theory
Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 237-246

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DOI

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.
DOI : 10.4153/CMB-2006-024-4
Mots-clés : 32E30, 32C18, Rational approximation, homotopy type, null-homotopic 
Gauthier, P. M.; Zeron, E. S. Approximation by Rational Mappings, via Homotopy Theory. Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 237-246. doi: 10.4153/CMB-2006-024-4
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     author = {Gauthier, P. M. and Zeron, E. S.},
     title = {Approximation by {Rational} {Mappings,} via {Homotopy} {Theory}},
     journal = {Canadian mathematical bulletin},
     pages = {237--246},
     year = {2006},
     volume = {49},
     number = {2},
     doi = {10.4153/CMB-2006-024-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-024-4/}
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