A BORSUK-ULAM TYPE THEOREM FOR A PRODUCT OF SPHERES

被引：9

作者：

KOIKARA, BS ^{[1
]}

MUKERJEE, HK ^{[1
]}

机构：

[1] NE HILL UNIV, DEPT MATH, SHILLONG 793022, MEGHALAYA, INDIA

来源：

TOPOLOGY AND ITS APPLICATIONS | 1995年 / 63卷 / 01期

关键词：

CONNER-MILLER CLASSES; CHARACTERISTIC POLYNOMIALS; BORSUK-ULAM THEOREM;

D O I：

10.1016/0166-8641(95)90004-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a map f: M --> V, where M is a product of spheres and V is a manifold, we measure the (cohomological) dimension of the set A(f) = {(x, y) epsilon M \ f( -x, -y) = f(x, y)}, using Conner-Miller classes and the Bredon operation. We also examine a parametrized version of a similar problem using characteristic polynomials.

引用

页码：39 / 52

页数：14

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