论文标题
在塞雷光谱序列
Comultiplication in the Serre Spectral Sequence
论文作者
论文摘要
我们显示了在田间中具有系数的同源serre频谱序列是结膜的光谱序列。我们还确定了光谱序列的$ e^2 $页面上的合并,这是由同源物中通常的合并所引起的。最后,我们提供了一些示例计算,以突出使用Co-Leibniz规则。
We show the homological Serre spectral sequence with coefficients in a field is a spectral sequence of coalgebras. We also identify the comultiplication on the $E^2$ page of the spectral sequence as being induced by the usual comultiplication in homology. At the end, we provide some example computations highlighting the use the co-Leibniz rule.