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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Steenrod squares in spectral sequences. I


Author: William M. Singer
Journal: Trans. Amer. Math. Soc. 175 (1973), 327-336
MSC: Primary 55G10
MathSciNet review: 0319194
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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

DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0319194-X
PII: S 0002-9947(1973)0319194-X
Keywords: Steenrod operation, spectral sequence, cohomology of fiber spaces, cohomology of Hopf algebras, Eilenberg-Moore spectral sequence
Article copyright: © Copyright 1973 American Mathematical Society