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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Operations and Spectral Sequences. I
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by James M. Turner PDF
Trans. Amer. Math. Soc. 350 (1998), 3815-3835 Request permission

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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Additional Information
  • James M. Turner
  • Affiliation: Department of Mathematics, College of The Holy Cross, One College Street, Worcester, Massachusetts 01610-2395
  • Address at time of publication: Department of Mathematics, Calvin College, 3201 Burton Street, S.E., Grand Rapids, Michigan 49546-4388
  • MR Author ID: 628073
  • Email: jmt@ziplink.net
  • Received by editor(s): October 21, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 3815-3835
  • MSC (1991): Primary 18G40, 55S05, 55U15; Secondary 18G30, 55S10, 55S12, 55T10, 55T20
  • DOI: https://doi.org/10.1090/S0002-9947-98-02254-5
  • MathSciNet review: 1487634