  Intersection homology of Goresky and MacPherson can be defined from the
Deligne sheaf, obtained from truncations of complexes of sheaves. As
intersection homology is not the homology of a particular space, the search for
a family of spaces whose homologies have properties analogous to intersection
homology has developed. For some stratified spaces, M. Banagl has introduced
such a family by using a topological truncation: the original link is replaced
by a truncation of its homological Moore resolution.
  In this work, we study the dual approach in the Eckmann-Hilton sense : we
consider the stratified space obtained by replacing the original link by a
Postnikov approximation. The main result is that our construction restores the
space constructed by Gajer to establish an intersection Dold-Thom theorem.
  We are conducting this study within the general framework of Quinn's
homotopically stratified spaces.
