Approximation and the topology of rationally convex sets

被引：1

作者：

Zeron, E. S.

机构：

[1] CINVESTAV, Dept Matemat, Mexico City 07000, DF, Mexico

[2] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2006年 / 49卷 / 04期

关键词：

rationally convex; cohomology and homotopy;

D O I：

10.4153/CMB-2006-058-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering a mapping g holomorphic on a neighbourhood of a rationafly convex set K C C-n, and range into the complex projective space CPm, the main objective of this paper is to show that we can uniformly approximate g on K by rational mappings defined from C-n into CPm. We only need to ask that the second Cech cohomology group H-2 (K, Z) vanishes.

引用

页码：628 / 636

页数：9

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