Quillen stratification for the Steenrod algebra
Algebraic Topology
2007-05-23 v1 K-Theory and Homology
Abstract
Let A be the mod 2 Steenrod algebra, and let Q denote the category of exterior sub-Hopf algebras of A, where the morphisms are given by inclusions. The restriction maps Ext_A (Z/2,Z/2) --> Ext_E (Z/2,Z/2), for E in Q, can be assembled into a map i:Ext_A (Z/2, Z/2) --> lim_Q Ext_E (Z/2,Z/2). There is an action of A on this inverse limit, and i factors through the invariants under this action, giving a map g:Ext_A (Z/2, Z/2) --> ( lim_Q Ext_E (Z/2,Z/2) )^A. We show that g is an F-isomorphism.
Cite
@article{arxiv.math/9903202,
title = {Quillen stratification for the Steenrod algebra},
author = {John H. Palmieri},
journal= {arXiv preprint arXiv:math/9903202},
year = {2007}
}
Comments
29 pages, published version