Resumen de The discrete module category for the ring of -theory operations

Francis Clarke, Martin Crossley, Sarah Whitehouse

• We study the category of discrete modules over the ring of degree-zero stable operations in -local complex -theory, where is an odd prime. We show that the -homology of any space or spectrum is such a module, and that this category is isomorphic to a category defined by Bousfield and used in his work on the -local stable homotopy category. We give a simple construction of cofree discrete modules and construct the analogue in the category of discrete modules of a four-term exact sequence due to Bousfield