Endofiniteness in stable homotopy theory
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- by Henning Krause and Ulrike Reichenbach
- Trans. Amer. Math. Soc. 353 (2001), 157-173
- DOI: https://doi.org/10.1090/S0002-9947-00-02642-8
- Published electronically: June 20, 2000
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Abstract:
We study endofinite objects in a compactly generated triangulated category in terms of ideals in the category of compact objects. Our results apply in particular to the stable homotopy category. This leads, for example, to a new interpretation of stable splittings for classifying spaces of finite groups.References
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Bibliographic Information
- Henning Krause
- Affiliation: Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
- MR Author ID: 306121
- ORCID: 0000-0003-0373-9655
- Email: henning@mathematik.uni-bielefeld.de
- Ulrike Reichenbach
- Affiliation: Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
- Email: reichenb@mathematik.uni-bielefeld.de
- Received by editor(s): November 18, 1998
- Published electronically: June 20, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 157-173
- MSC (2000): Primary 55P42, 55U35
- DOI: https://doi.org/10.1090/S0002-9947-00-02642-8
- MathSciNet review: 1783792