Loop space decompositions of highly symmetric spaces with applications to polyhedral products

IF 0.5 Q3 MATHEMATICS

European Journal of Mathematics Pub Date : 2023-10-30 DOI:10.1007/s40879-023-00701-5

Lewis Stanton

引用次数: 0

Abstract

Abstract We generalise the fold map for the wedge sum and use this to give a loop space decomposition of topological spaces with a high degree of symmetry. This is applied to polyhedral products to give a loop space decomposition of polyhedral products associated to families of graphs.

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高度对称空间的循环空间分解及其在多面体积上的应用

摘要我们推广了楔形和的折叠映射，并利用它给出了具有高度对称性的拓扑空间的环空间分解。将此方法应用于多面体积，给出了与图族相关的多面体积的循环空间分解。

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

European Journal of Mathematics MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： The European Journal of Mathematics (EJM) is an international journal that publishes research papers in all fields of mathematics. It also publishes research-survey papers intended to provide nonspecialists with insight into topics of current research in different areas of mathematics. The journal invites authors from all over the world. All contributions are required to meet high standards of quality and originality. EJM has an international editorial board. Coverage in EJM will include: - Algebra - Complex Analysis - Differential Equations - Discrete Mathematics - Functional Analysis - Geometry and Topology - Mathematical Logic and Foundations - Number Theory - Numerical Analysis and Optimization - Probability and Statistics - Real Analysis.