Correction to the article A spectral sequence for stratified spaces and configuration spaces of points
Correction to the article A spectral sequence for stratified spaces and configuration spaces of points
复制标题
对文章分层空间和点的配置空间的谱序列的更正
作者：
D. Petersen
构造了一个与分层空间相关联的谱序列，利用闭层的紧支撑上同调群和层偏序集的约化上同调群来计算开层的紧支撑上同调群.几个常见的谱序列作为特例出现。该结构是层理论的，适用于拓扑空间和代数簇的etale上同调。作为应用，我们证明了点的位形空间的一个非常一般的表示稳定性定理。
We construct a spectral sequence associated to a stratified space, which computes the compactly supported cohomology groups of an open stratum in terms of the compactly supported cohomology groups of closed strata and the reduced cohomology groups of the poset of strata. Several familiar spectral sequences arise as special cases. The construction is sheaf-theoretic and works both for topological spaces and for the etale cohomology of algebraic varieties. As an application we prove a very general representation stability theorem for configuration spaces of points.