Title of Paper An example of a non-cofibrantly generated model category Author Boris Chorny AMS Classification numbers Primary 55U35; Secondary 55P91, 18G55 Addresses of Authors Centre de Recerca Matematica, Apartat 50, E-08193 Bellaterra (Barcelona), Spain Email address of Authors cboris@crm.es Text of Abstract We show that the model category of diagrams of spaces generated by a proper class of orbits is not cofibrantly generated. In particular the category of maps between spaces may be given a non-cofibrantly generated model structure.