A Four-filtrated may spectral sequence and its applications
A Four-filtrated may spectral sequence and its applications
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DOI：
10.1007/s10114-008-6219-z
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发表时间：
2008-07
期刊：
影响因子：
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通讯作者：
X. Liu;Xiangjun Wang
中科院分区：
文献类型：
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作者：
X. Liu;Xiangjun Wang
在本文中，我们介绍了梅谱序列（MSS）的四过滤版本，从中我们研究了谱序列的一般性质并给出了崩溃定理。我们还给出了一种有效的方法来检测给定 (s, t, b, *) 的 MayE1-termE1s,t,b,* 的生成器。作为一个应用，我们给出了一种方法来证明经典 Adams 谱序列（ASS）中已知同伦元素的某些组合的非平凡性。
In this paper, we introduce a four-filtrated version of the May spectral sequence (MSS), from which we study the general properties of the spectral sequence and give a collapse theorem. We also give an efficient method to detect generators of MayE1-termE1s,t,b,*for a given (s, t, b, *). As an application, we give a method to prove the non-triviality of some compositions of the known homotopy elements in the classical Adams spectral sequence (ASS).