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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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Steenrod squares in spectral sequences. I
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by William M. Singer PDF
Trans. Amer. Math. Soc. 175 (1973), 327-336 Request permission

Abstract:

We define two kinds of Steenrod operations on the spectral sequence of a bisimplicial coalgebra. We show these operations compatible with the differentials of the spectral sequence, and with the Steenrod squares defined on the cohomology of the total complex. We give a general rule for computing the operations on ${E_2}$.
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 175 (1973), 327-336
  • MSC: Primary 55G10
  • DOI: https://doi.org/10.1090/S0002-9947-1973-0319194-X
  • MathSciNet review: 0319194