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The Bockstein and the Adams spectral sequences


Authors: J. P. May and R. J. Milgram
Journal: Proc. Amer. Math. Soc. 83 (1981), 128-130
MSC: Primary 55T15
DOI: https://doi.org/10.1090/S0002-9939-1981-0619997-8
MathSciNet review: 619997
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Abstract: We show that, above the appropriate "vanishing line", the Adams spectral sequence of a connective spectrum can be read off from its Bockstein spectral sequence.


References [Enhancements On Off] (What's this?)

  • [1] J. F. Adams, Stable homotopy theory, Lecture Notes in Math., vol 3, Springer-Verlag, Berlin and New York, 1966. MR 0196742 (33:4928)
  • [2] H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, Princeton, N.J., 1956. MR 0077480 (17:1040e)
  • [3] H. Ligaard, B. Mann, J. P. May and R. J. Milgram, The odd primary torsion of the topological cobordism ring (to appear).
  • [4] A. Liulevicius, Zeroes of the cohomology of the Steenrod algebra, Proc. Amer. Math. Soc. 14 (1963), 972-976. MR 0157383 (28:617)

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DOI: https://doi.org/10.1090/S0002-9939-1981-0619997-8
Article copyright: © Copyright 1981 American Mathematical Society

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