A four-filtrated may spectral sequence and its applications

作者：Liu Xiu Gui^*; Wang Xiang Jun

来源：Acta Mathematica Sinica-English Series, 2008, 24(9): 1507-1524.

DOI：10.1007/s10114-008-6219-z

• stable homotopy groups of spheres
• Adams spectral sequence
• may spectral sequence

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 May E(1)-term E(1)(s,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).

• 出版日期2008-9
• 单位南开大学