MMMark Mahowald
Mark Mahowald
*This is an algorithmically generated author record based on publicly available information.
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Mark Mahowald has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Paul Shick
John Carroll University
2 shared publications - Douglas C. Ravenel
University of Rochester, Rochester, NY
1 shared publication
Latest Publications
- 1 March 1987
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 300 (1) , 191-206
Periodic Phenomena in the Classical Adams Spectral Sequence
We investigate certain periodic phenomena in the classical Adams sepctral sequence which are related to the polynomial generators ${\nu _n}$ in ${\pi _{\ast }}(\operatorname {BP} )$. We define the notion of a class $a$ in ${\operatorname {Ext} _A}({\mathbf {Z}}/2,{\mathbf {Z}}/2)$ being ${\nu _n}$-periodic or ${\nu _n}$-torsion and prove that classes that are ${\nu _n}$-torsion are also ${\nu _k}$-torsion for all $k$ such that $0 \leqslant k \leqslant n$. This allows us to define a chromatic filtration of ${\operatorname {Ext} _A}({\mathbf {Z}}/2,{\mathbf {Z}}/2)$ paralleling the chromatic filtration of the Novikov spectral sequence ${E_2}$-term given in [13].- 1 March 1987
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 300 (1) , 191-206
Periodic Phenomena in the Classical Adams Spectral Sequence
We investigate certain periodic phenomena in the classical Adams sepctral sequence which are related to the polynomial generators ${\nu _n}$ in ${\pi _{\ast }}(\operatorname {BP} )$. We define the notion of a class $a$ in ${\operatorname {Ext} _A}({\mathbf {Z}}/2,{\mathbf {Z}}/2)$ being ${\nu _n}$-periodic or ${\nu _n}$-torsion and prove that classes that are ${\nu _n}$-torsion are also ${\nu _k}$-torsion for all $k$ such that $0 \leqslant k \leqslant n$. This allows us to define a chromatic filtration of ${\operatorname {Ext} _A}({\mathbf {Z}}/2,{\mathbf {Z}}/2)$ paralleling the chromatic filtration of the Novikov spectral sequence ${E_2}$-term given in [13].