Quillen stratification for the Steenrod algebra

dc.creatorPalmieri, John H.
dc.date1999-03-01
dc.date.accessioned2026-07-07T05:28:34Z
dc.date.available2026-07-07T05:28:34Z
dc.descriptionLet 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.
dc.description29 pages, published version
dc.identifierhttps://arxiv.org/abs/math/9903202
dc.identifierhttp://arxiv.org/abs/math/9903202
dc.identifierAnn. of Math. (2) 149 (1999), no. 2, 421-449
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78306
dc.subjectAlgebraic Topology
dc.subjectK-Theory and Homology
dc.titleQuillen stratification for the Steenrod algebra
dc.typetext

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