Spaces of rational maps and the Stone-Weierstrass Theorem
Abstract
Description
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.
12 pages, 1 figure
12 pages, 1 figure