We define an unreduced version of the e-controlled lower K-theoretic groups
of Ranicki and Yamasaki, and Quinn. We show that the reduced versions of our
groups coincide (in the inverse limit and its first derived, lim1) with
those of Ranicki and Yamasaki. We also relate the controlled groups to the
continuously controlled groups of Anderson and Munkholm, and to the Quinn
homology groups of Quinn