Title:    Endofiniteness in stable homotopy theory

Author:   Henning Krause and Ulrike Reichenbach

Status:   Submitted

Address:  University of Bielefeld, Germany

E-mail:   henning@mathematik.uni-bielefeld.de
          reichenb@mathematik.uni-bielefeld.de

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.