On the construction of the Bockstein spectral sequence

Siegel, Jerrold

doi:10.1090/S0002-9947-1975-0394664-9

On the construction of the Bockstein spectral sequence
HTML articles powered by AMS MathViewer

by Jerrold Siegel

Trans. Amer. Math. Soc. 210 (1975), 203-224

DOI: https://doi.org/10.1090/S0002-9947-1975-0394664-9

PDF | Request permission

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.

References

William Browder, Torsion in $H$-spaces, Ann. of Math. (2) 74 (1961), 24–51. MR 124891, DOI 10.2307/1970305
William Browder, Homotopy commutative $H$-spaces, Ann. of Math. (2) 75 (1962), 283–311. MR 150778, DOI 10.2307/1970175
William Browder and Isaac Namioka, $H$-spaces with commutative homology rings, Ann. of Math. (2) 75 (1962), 449–451. MR 148070, DOI 10.2307/1970207
J. L. Dupont and G. Lusztig, On manifolds satisfying $w_{1}{}^{2}=0$, Topology 10 (1971), 81–92. MR 273631, DOI 10.1016/0040-9383(71)90031-0
B. Eckmann and P. J. Hilton, Exact couples in an abelian category, J. Algebra 3 (1966), 38–87. MR 191937, DOI 10.1016/0021-8693(66)90019-6

Homology

114

28

Emery Thomas, The generalized Pontrjagin cohomology operations and rings with divided powers, Mem. Amer. Math. Soc. 27 (1957), 82. MR 99029