Stable homotopy classification of A

We study the stable homotopy types of F sub( n(2)) super(4) -polyhedra, i.e., (n - 1)-connected, at most (n + 4)-dimensional polyhedra with 2-torsion free homologies. We are able to classify the indecomposable F sub( n(2)) super(4) -polyhedra. The proof relies on the matrix problem technique which was developed in the classification of representations of algebras and applied to homotopy theory by Baues and Drozd (1999, 2001, 2004).