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.

引用

页码：29 / 34

页数：6

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