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Transactions of the American Mathematical Society
Journal Article

On the Construction of the Bockstein Spectral Sequence

Jerrold Siegel
Transactions of the American Mathematical Society
Vol. 210 (Sep., 1975), pp. 203-224
Published by: American Mathematical Society
DOI: 10.2307/1997132
https://www.jstor.org/stable/1997132
Page Count: 22

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Topics: Commutativity, Mathematical sequences, Towers, Mathematical theorems, Cardinality, Integers, Functors, Automorphisms
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On the Construction of the Bockstein Spectral Sequence
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Abstract

The Bockstein spectral sequence is developed from a direct limit construction. This is shown to clarify its relation to certain associated structures, in particular the divided power operations. Finally, the direct limit construction is used to study the problem of enumerating the Bockstein spectral sequences over a given simple R-module.
Transactions of the American Mathematical Society © 1975 American Mathematical Society