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Approximation of maps into spheres by regulous maps
被引:5
|作者:
Zielinski, Maciej
[1
]
机构:
[1] Jagiellonian Univ, Inst Math, Fac Math & Comp Sci, Ul Lojasiewcza 6, PL-30348 Krakow, Poland
关键词:
Real algebraic variety;
Regulous map;
Sphere;
Approximation;
CONTINUOUS RATIONAL MAPS;
ALGEBRAIC VECTOR-BUNDLES;
D O I:
10.1007/s00013-017-1092-6
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Let X be a compact real algebraic set of dimension n. We prove that every Euclidean continuous map from X into the unit n-sphere can be approximated by a regulous map. This strengthens and generalizes previously known results.
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页码:29 / 34
页数:6
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