# Approximation by continuous rational maps into spheres

Journal of the European Mathematical Society (2014)

- Volume: 016, Issue: 8, page 1555-1569
- ISSN: 1435-9855

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topKucharz, Wojciech. "Approximation by continuous rational maps into spheres." Journal of the European Mathematical Society 016.8 (2014): 1555-1569. <http://eudml.org/doc/277743>.

@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 -

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