Periodic Phenomena in the Classical Adams Spectral Sequence

Authors

Mark Mahowald
Paul L. Shick, John Carroll UniversityFollow

Document Type

Article

Publication Date

3-1987

Abstract

We investigate certain periodic phenomena in the classical Adams spectral sequence which are related to the polynomial generators υ_n in π∗(ΒΡ). We define the notion of a class α in Ext_Α(Ζ/2,Ζ/2) being υ_n-periodic or υ_n-torsion and prove that classes that are υ_n-torsion are also υ_κ-torsion for all κ such that 0 ≤ κ ≤ n. This allows us to define a chromatic filtration of Ext_Α(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

Recommended Citation

Mahowald, Mark and Shick, Paul L., "Periodic Phenomena in the Classical Adams Spectral Sequence" (1987). Mathematics and Computer Science. 1.
https://collected.jcu.edu/math_cs-facpub/1