2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61763In our previous work, a relation between Tsukiyama problem about self homotopy equivalence was found by using a generalization of phantom map. In this note, fundamental result is established for such a generalization. This is the first time one can deal with phantom maps to space not satisfying finite type condition. Application to Forgetful map is also discussed briefly.10 pagesAlgebraic Topology55P10,55P60,55P62,55R10text