Spaces of rational maps and the Stone-Weierstrass Theorem

Details Spaces of rational maps and the Stone-Weierstrass Theorem Spaces of rational maps and the Stone-Weierstrass Theorem

2003-07-08

arxiv.org/abs/math/0307103v2

Mathematics

Algebraic Topology

12 pages, 1 figure

Scientific paper

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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