2013/06/25 by Nicholas J. Kuhn, Kuhn, Nicholas J.
Mathematics · #18E10 (Secondary) #55P47 (Primary) #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:18E10 #msc:55P47
paper · pdf · doi:10.48550/arxiv.1306.6072
21 pages
arxiv created 2013/06/25 · arxiv updated 2013/06/26
In the early 1990's, Lionel Schwartz gave a lovely characterization of the Krull filtration of U, the category of unstable modules over the mod p Steenrod algebra. Soon after, this filtration was used by the author as an organizational tool in posing and studying some topological nonrealization conjectures. In recent years the Krull filtration of U has been similarly used by Castellana, Crespo, and Scherer in their study of H--spaces with finiteness conditions, and Gaudens and Schwartz have given a proof of some of my conjectures. In light of these topological applications, it seems timely to better expose the algebraic properties of the Krull filtration.