Endofiniteness in stable homotopy theory

Krause, Henning; Reichenbach, Ulrike

doi:10.1090/S0002-9947-00-02642-8

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.

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Endofiniteness in stable homotopy theory
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Abstract: