Singular homology and cohomology with local coefficients and duality for manifolds.
Singular homology and cohomology with local coefficients and duality for manifolds.
复制标题
奇异同调和具有局部系数的上同调以及流形的对偶性。
DOI：
10.2140/pjm.1993.160.165
复制
发表时间：
1993
影响因子：
0.6
通讯作者：
E. Spanier
中科院分区：
文献类型：
--
作者：
E. Spanier
本文应用了作者之前关于空间上同调理论的工作来阐述奇异理论。在总结了一般上同调理论的相关概念后，定义了奇异同调和具有局部系数的奇异上同调。每一种都有两种版本，一种带有紧凑型支撑，另一种带有任意封闭式支撑。结果表明，每个版本都满足任意（即不可定向）拓扑流形的适当对偶定理
This article contains an application of the author's previous work on cohomology theories on a space to an exposition of singular theory. After a summary of the relevant concepts concerning cohomology theories in general, singular homology and singular cohomology with local coefficients are defined. Each of these is presented in two versions, one with compact supports and one with arbitrary closed supports. It is shown that each version satisfies an appropriate duality theorem for arbitrary (i.e. nonorientable) topological manifolds