A parametrized Borsuk-Ulam theorem for a product of spheres with free ZP-action and free S1-action

被引：13
|
作者：
De Mattos, Denise [1 ]
Dos Santos, Edivaldo L. [2 ]
机构：
[1] Univ Sao Paulo, Inst Ciencia Matemat & Computacao, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2007年 / 7卷
关键词：
D O I：
10.2140/agt.2007.7.1791
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove parametrized Borsuk-Ulam theorems for bundles whose fibre has the same cohomology (mod p) as a product of spheres with any free Z(p)-action and for bundles whose fibre has rational cohomology ring isomorphic to the rational cohomology ring of a product of spheres with any free S-1-action. These theorems extend the result proved by Koikara and Mukejee in [7]. Further, in the particular case where G = Z(p), we estimate the "size" of the Z(p)-coincidence set of a fibre-preserving map.
引用
收藏
页码：1791 / 1804
页数：14
相关论文
共 16 条
12