The discrete module category for the ring of -theory operations

• Autores: Francis Clarke, Martin Crossley, Sarah Whitehouse
• Localización: Topology, ISSN 0040-9383, Vol. 46, Nº 2, 2007, págs. 139-154
• Idioma: inglés
• DOI: 10.1016/j.top.2007.01.001
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• Resumen

  • 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