A SIMPLE PROOF OF THE BORSUK-ULAM THEOREM FOR Zp-ACTIONS

被引：0

作者：

Singh, Mahender ^{[1
]}

机构：

[1] Harish Chandra Res Inst, Sch Math, Allahabad 211019, Uttar Pradesh, India

来源：

TOPOLOGY PROCEEDINGS, VOL 36 | 2010年 / 36卷

关键词：

cohomology ring; equivariant map; Hurewicz homomorphism; universal coefficient formula;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we give a simple proof of the Borsuk-Ulam theorem for Z(p)-actions. We prove that if S-n and S-m are equipped with free Z(p)-actions (p prime) and f: S-m --> S-m is a Z(p)-equivariant map, then n <= m.

引用

页码：249 / 253

页数：5

共 50 条

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