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
来源：
ARCHIV DER MATHEMATIK | 2018年 / 110卷 / 01期
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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