配置空间的粗上同调与粗嵌入
度量几何
2025-11-05 v2 代数拓扑
摘要
我们引入了度量空间中子空间补集的等变粗上同调概念。我们利用该上同调定义了度量空间配置空间的粗上同调概念，并开发了在特定条件下计算该上同调的工具。作为该理论的一个应用，我们证明了配置空间粗上同调中的某些类会阻碍两个度量空间之间的粗嵌入。
引用
@article{arxiv.2401.07720,
title = {Coarse cohomology of configuration space and coarse embedding},
author = {Arka Banerjee},
journal= {arXiv preprint arXiv:2401.07720},
year = {2025}
}
备注
31 pages, 1 figure. Minor revisions and enhanced exposition were made in response to the referee's comments. Accepted for publication in Algebraic & Geometric Topology