Steenrod squares in spectral sequences. I
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 .
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Keywords: Steenrod operation, spectral sequence, cohomology of fiber spaces, cohomology of Hopf algebras, Eilenberg-Moore spectral sequence
Article copyright: © Copyright 1973 American Mathematical Society