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

Voir la notice de l'article provenant de la source EMS Press

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 
@article{JEMS_2014_16_8_a1,
     author = {Wojciech Kucharz},
     title = {Approximation by continuous rational maps into spheres},
     journal = {Journal of the European Mathematical Society},
     pages = {1555--1569},
     publisher = {mathdoc},
     volume = {16},
     number = {8},
     year = {2014},
     doi = {10.4171/jems/469},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/469/}
}
TY  - JOUR
AU  - Wojciech Kucharz
TI  - Approximation by continuous rational maps into spheres
JO  - Journal of the European Mathematical Society
PY  - 2014
SP  - 1555
EP  - 1569
VL  - 16
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/469/
DO  - 10.4171/jems/469
ID  - JEMS_2014_16_8_a1
ER  - 
%0 Journal Article
%A Wojciech Kucharz
%T Approximation by continuous rational maps into spheres
%J Journal of the European Mathematical Society
%D 2014
%P 1555-1569
%V 16
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/469/
%R 10.4171/jems/469
%F JEMS_2014_16_8_a1
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. http://geodesic.mathdoc.fr/articles/10.4171/jems/469/

Cité par Sources :