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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Endofiniteness in stable homotopy theory


Authors: Henning Krause and Ulrike Reichenbach
Journal: Trans. Amer. Math. Soc. 353 (2001), 157-173
MSC (2000): Primary 55P42, 55U35
Published electronically: June 20, 2000
MathSciNet review: 1783792
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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.


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Additional Information

Henning Krause
Affiliation: Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
Email: henning@mathematik.uni-bielefeld.de

Ulrike Reichenbach
Affiliation: Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
Email: reichenb@mathematik.uni-bielefeld.de

DOI: http://dx.doi.org/10.1090/S0002-9947-00-02642-8
PII: S 0002-9947(00)02642-8
Received by editor(s): November 18, 1998
Published electronically: June 20, 2000
Article copyright: © Copyright 2000 American Mathematical Society