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Endofiniteness in stable homotopy theory
Author(s):
Henning
Krause;
Ulrike
Reichenbach
Journal:
Trans. Amer. Math. Soc.
353
(2001),
157-173.
MSC (2000):
Primary 55P42, 55U35
Posted:
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.
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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:
10.1090/S0002-9947-00-02642-8
PII:
S 0002-9947(00)02642-8
Received by editor(s):
November 18, 1998
Posted:
June 20, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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