Geodesic
Approximation by continuous rational maps into spheres
Journal of the European Mathematical Society, Tome 16 (2014) no. 8, pp. 1555-1569

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Investigated are continuous rational maps of nonsingular real algebraic varieties into spheres. In some cases, necessary and sufficient conditions are given for a continuous map to be approximable by continuous rational maps. In particular, each continuous map between unit spheres can be approximated by continuous rational maps.
DOI : 10.4171/jems/469
Classification : 14-XX, 00-XX
Keywords: Real algebraic set, regular map, continuous rational map, semi-algebraic map, approximation 
Wojciech Kucharz. Approximation by continuous rational maps into spheres. Journal of the European Mathematical Society, Tome 16 (2014) no. 8, pp. 1555-1569. doi: 10.4171/jems/469
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     author = {Wojciech Kucharz},
     title = {Approximation by continuous rational maps into spheres},
     journal = {Journal of the European Mathematical Society},
     pages = {1555--1569},
     year = {2014},
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     number = {8},
     doi = {10.4171/jems/469},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/469/}
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