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A Four-filtrated may spectral sequence and its applications

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Abstract

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 s,t,b,*1 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).

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Authors and Affiliations

  1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, P. R. China

    Xiu Gui Liu & Xiang Jun Wang

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  1. Xiu Gui Liu
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  2. Xiang Jun Wang
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Correspondence to Xiu Gui Liu.

Additional information

This research is partially supported by the National Natural Science Foundation of China (Nos. 10501045, 10771105) and the Fund of the Personnel Division of Nankai University

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Liu, X.G., Wang, X.J. A Four-filtrated may spectral sequence and its applications. Acta. Math. Sin.-English Ser. 24, 1507–1524 (2008). https://doi.org/10.1007/s10114-008-6219-z

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  • DOI: https://doi.org/10.1007/s10114-008-6219-z

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