Endofiniteness in stable homotopy theory

Krause H, Reichenbach U. Endofiniteness in stable homotopy theory. Transactions of the American Mathematical Society. 2000;353(1):157-173.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