"Operations and spectral sequences. I" by James M. Turner
 

Document Type

Article

Publication Title

Transactions of the American Mathematical Society

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 \V. 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.

First Page

3815

Last Page

3835

DOI

10.1090/s0002-9947-98-02254-5

Publication Date

1-1-1998

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