Continuous rational maps into spheres

被引：0
作者：
Wojciech Kucharz
机构：
[1] Jagiellonian University,Institute of Mathematics, Faculty of Mathematics and Computer Science
来源：
Mathematische Zeitschrift | 2016年 / 283卷
关键词：
Real algebraic variety; Regular map; Continuous rational map; Approximation; Homotopy; 14P05; 14P25; 57R99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let X be a compact nonsingular real algebraic variety. We prove that if a continuous map from X into the unit p-sphere is homotopic to a continuous rational map, then, under certain assumptions, it can be approximated in the compact-open topology by continuous rational maps. As a byproduct, we also obtain some results on approximation of smooth submanifolds by nonsingular subvarieties.
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收藏
页码：1201 / 1215
页数：14
相关论文
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