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Transactions of the American Mathematical Society

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

 

 

On the construction of the Bockstein spectral sequence


Author: Jerrold Siegel
Journal: Trans. Amer. Math. Soc. 210 (1975), 203-224
MSC: Primary 55H25
DOI: https://doi.org/10.1090/S0002-9947-1975-0394664-9
MathSciNet review: 0394664
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1975-0394664-9
Keywords: Bockstein spectral sequences, divided power operations, obstructions, higher order operations, $ H$-spaces
Article copyright: © Copyright 1975 American Mathematical Society