C^k类分段正则映射对球面的逼近
Approximation of maps into spheres by piecewise-regular maps of class C^k
摘要：
本文的目的是证明从实代数簇的紧子集到球面的每一个连续映射都可以用类C^k的分段正则映射来逼近，其中k是任意整数。
英文摘要：
The aim of this paper is to prove that every continuous map from a compact subset of a real algebraic variety into a sphere can be approximated by piecewise-regular maps of class C^k, where k is an arbitrary integer.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
