Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany ; Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
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.