Cohomology algebra of orbit spaces of free involutions on the product of projective space and 4-sphere

IF 0.5 4区数学 Q3 MATHEMATICS

Portugaliae Mathematica Pub Date : 2022-07-29 DOI:10.4171/pm/2105

Ying Sun, Jianbo Wang

引用次数: 0

Abstract

Let $X$ be a finitistic space with the mod 2 cohomology of the product space of a projective space and a 4-sphere. Assume that $X$ admits a free involution. In this paper we study the mod 2 cohomology algebra of the quotient of $X$ by the action of the free involution and derive some consequences regarding the existence of $\mathbb{Z}_2$-equivariant maps between such $X$ and an $n$-sphere.

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投影空间与四球积上自由对合轨道空间的上同调代数

设X是射影空间与4球积空间的模2上同调的有限空间。假设$X$允许自由对合。本文利用自由对合的作用研究了$X$商的模2上同调代数，并给出了$X$与$n$-球之间$\mathbb{Z}_2$-等变映射的存在性的一些结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Portugaliae Mathematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Since its foundation in 1937, Portugaliae Mathematica has aimed at publishing high-level research articles in all branches of mathematics. With great efforts by its founders, the journal was able to publish articles by some of the best mathematicians of the time. In 2001 a New Series of Portugaliae Mathematica was started, reaffirming the purpose of maintaining a high-level research journal in mathematics with a wide range scope.