当前位置: X-MOL 学术Homol. Homotopy Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A remark on the double complex of a covering for singular cohomology
Homology, Homotopy and Applications ( IF 0.8 ) Pub Date : 2021-04-07 , DOI: 10.4310/hha.2021.v23.n2.a4
Roberto Frigerio 1 , Andrea Maffei 1
Affiliation  

Given an open covering of a paracompact topological space $X$, there are two natural ways to construct a map from the cohomology of the nerve of the covering to the cohomology of $X$. One of them is based on a partition of unity, and is more topological in nature, while the other one relies on the double complex associated to an open covering, and has a more algebraic flavour. In this paper we prove that these two maps coincide.

中文翻译:

关于奇异同调的覆盖物的双重复合体的评论

给定超紧凑拓扑空间$ X $的开放覆盖范围,有两种自然的方法可以构建从覆盖层神经的同调性到$ X $的同调性的地图。其中一个基于统一分区,并且本质上更具拓扑性,而另一个则依赖于与开放覆盖相关的双重复合体,并且具有更多的代数风格。在本文中,我们证明了这两个地图是重合的。
更新日期:2021-04-08
down
wechat
bug