Approximation by continuous rational maps into spheres

@article{Kucharz2014,
abstract = {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.},
author = {Kucharz, Wojciech},
journal = {Journal of the European Mathematical Society},
keywords = {real algebraic set; regular map; continuous rational map; semi-algebraic map; approximation; real algebraic set; regular map; continuous rational map; semi-algebraic map; approximation},
language = {eng},
number = {8},
pages = {1555-1569},
publisher = {European Mathematical Society Publishing House},
title = {Approximation by continuous rational maps into spheres},
url = {http://eudml.org/doc/277743},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Kucharz, Wojciech
TI - Approximation by continuous rational maps into spheres
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 8
SP - 1555
EP - 1569
AB - 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.
LA - eng
KW - real algebraic set; regular map; continuous rational map; semi-algebraic map; approximation; real algebraic set; regular map; continuous rational map; semi-algebraic map; approximation
UR - http://eudml.org/doc/277743
ER -