Operations and spectral sequences. I

Authors

James M. Turner, Calvin University

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

Recommended Citation

Turner, James M., "Operations and spectral sequences. I" (1998). University Faculty Publications and Creative Works. 543.
https://digitalcommons.calvin.edu/calvin_facultypubs/543