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Periodic Phenomena in the Classical Adams Spectral Sequence
Mathematics and Computer Science
  • Mark Mahowald
  • Paul L. Shick, John Carroll University
Document Type
Article
Publication Date
3-1-1987
Disciplines
Abstract

We investigate certain periodic phenomena in the classical Adams spectral sequence which are related to the polynomial generators υn in π∗(ΒΡ). We define the notion of a class α in ExtΑ(Ζ/2,Ζ/2) being υn-periodic or υn-torsion and prove that classes that are υn-torsion are also υκ-torsion for all κ such that 0 ≤ κ ≤ n. This allows us to define a chromatic filtration of ExtΑ(Ζ/2,Ζ/2) paralleling the chromatic filtration of the Novikov spectral sequence Ε2-term given in [13].

Comments

M. Mahowald & P. L. Shick. Periodic Phenomena in the Classical Adams Spectral Sequence, Transactions of the American Mathematical Society. Vol. 300 (1987) pp. 191-206.

First published in Transactions of the American Mathematical Society in 300(1), published by the American Mathematical Society

Citation Information
Mark Mahowald and Paul L. Shick. "Periodic Phenomena in the Classical Adams Spectral Sequence" (1987)
Available at: http://works.bepress.com/paul_shick/3/