The homotopy decomposition of the suspension of a non-simply-connected five-manifold

IF 1.3 3区数学 Q1 MATHEMATICS

Proceedings of the Royal Society of Edinburgh Section A-Mathematics Pub Date : 2024-04-17 DOI:10.1017/prm.2024.49

Pengcheng Li, Zhongjian Zhu

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引用次数: 0

Abstract

In this paper we determine the homotopy types of the reduced suspension space of certain connected orientable closed smooth

$five$

-manifolds. As applications, we compute the reduced

$K$

-groups of

$M$

and show that the suspension map between the third cohomotopy set

$\pi ^3(M)$

and the fourth cohomotopy set

$\pi ^4(\Sigma M)$

is a bijection.

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非简单连接五芒星悬浮的同调分解

在本文中，我们确定了某些连通可定向封闭光滑 $five$ -manifolds 的还原悬浮空间的同调类型。作为应用，我们计算了 $M$ 的还原 $K$ 群，并证明了第三同调集 $\pi ^3(M)$ 和第四同调集 $\pi ^4(\Sigma M)$ 之间的悬浮映射是双射的。

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

Proceedings of the Royal Society of Edinburgh Section A-Mathematics 数学-数学

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： A flagship publication of The Royal Society of Edinburgh, Proceedings A is a prestigious, general mathematics journal publishing peer-reviewed papers of international standard across the whole spectrum of mathematics, but with the emphasis on applied analysis and differential equations. An international journal, publishing six issues per year, Proceedings A has been publishing the highest-quality mathematical research since 1884. Recent issues have included a wealth of key contributors and considered research papers.