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The homotopy category of parametrized spectra

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Abstract

A homotopy category of spectra parametrized over some space B is constructed, which has useful properties for applications. It is a symmetric monoidal category with multiplication given by the smash product. In the original construction the objects are coordinate free spectra indexed by inner product spaces. A translation of the results to a category whose objects are the more familiar spectra indexed by natural numbers is also given.

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Authors and Affiliations

  1. Instituto de Matématicas U.N.A.M.Ciudad Universitaria, 04510, Mexico, D.F., Mexico

    Mónica Clapp

  2. Mathematisches Institutder Universität, Im Neuenheimer Feld 288, D-6900, Heidelberg, Germany (Fed.Rep.)

    Dieter Puppe

Authors
  1. Mónica Clapp
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  2. Dieter Puppe
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Clapp, M., Puppe, D. The homotopy category of parametrized spectra. Manuscripta Math 45, 219–247 (1984). https://doi.org/10.1007/BF01158038

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  • DOI: https://doi.org/10.1007/BF01158038

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