Indices of a Finitistic Space with Mod 2 Cohomology Pn x <mml:msup>S2</mml:msup>

被引：0

作者：

Singh, Hemant Kumar ^{[1
]}

Singh, Konthoujam Somorjit ^{[1
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2019年 / 50卷 / 01期

关键词：

Free action; finitistic space; Leray-Serre spectral sequence; index; covering dimension; FREE INVOLUTIONS; ORBIT SPACES; BORSUK-ULAM; PRODUCT;

D O I：

10.1007/s13226-019-0304-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G = Z(2) act freely on a finitistic space X with mod 2 cohomology ring isomorphic to the product of a real projective space and 2-sphere S2. In this paper, we determine the Conner and Floyd's mod 2 cohomology index and the Volovikov's numerical index of X. Using these indices, we discuss the nonexistence of equivariant maps XSn and SnX. The covering dimensions of the coincidence sets of continuous maps X (k) are also determined.

引用

页码：23 / 34

页数：12