#### 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*-periodic or

_{n}*υ*-torsion and prove that classes that are

_{n}*υ*-torsion are also

_{n}*υ*-torsion for all

_{κ}*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

*Ε*-term given in [13].

_{2}#### Recommended Citation

Mahowald, Mark and Shick, Paul L., "Periodic Phenomena in the Classical Adams Spectral Sequence" (1987). *Mathematics and Computer Science*. 1.

http://collected.jcu.edu/math_cs-facpub/1

## 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