Operations and Spectral Sequences. I

Turner, James

doi:10.1090/S0002-9947-98-02254-5

Operations and Spectral Sequences. I
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by James M. Turner

Trans. Amer. Math. Soc. 350 (1998), 3815-3835

DOI: https://doi.org/10.1090/S0002-9947-98-02254-5

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Abstract:

Using methods developed by W. Singer and J. P. May, we describe a systematic approach to showing that many spectral sequences, determined by a filtration on a complex whose homology has an action of operations, possess a compatible action of the same operations. As a consequence, we obtain W. Singer’s result for Steenrod operations on Serre spectral sequence and extend A. Bahri’s action of Dyer-Lashof operations on the second quadrant Eilenberg-Moore spectral sequence.

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