谱序列及其对偶

SPECTRAL SEQUENCE AND ITS DUAL

本文讨论了利用通常的滤系所确定的双复形M的全复形的谱序列同它的对偶谱序列之间的同构关系。对Künneth谱序列与Grothendieck谱序列考虑了类似的情况。并利用这些关系来计算同调群。

In this paper, we discuss isomorphic relation between duality of a spectral sequence of a total complex Tot(M) of a bicomplex M determined by usual filtration with its dual spectral sequence. Further we consider similar situation for Künneth spectral sequence and Grothendieck spectral sequence, and then use these relations to compute homology groups.