有理映射空间与Stone-Weierstrass定理
Spaces of rational maps and the Stone-Weierstrass Theorem
摘要:
证明了关于CP ^1到CP^n有理映射空间的Segal定理可以推广到CP^m到CP^n连续有理映射空间,其中m小于或等于n.工具是斯通-维尔斯特拉斯定理和瓦西里耶夫的单纯决议的机器。
英文摘要:
It is shown that Segal's theorem on the spaces of rational maps from CP^1 to CP^n can be extended to the spaces of continuous rational maps from CP^m to CP^n for any m less than or equal to n. The tools are the Stone-Weierstrass Theorem and Vassiliev's machinery of simplicial resolutions.
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