The classification of 2 and 3 torsion free polyhedra (Q889439)

In this paper, the authors study the classification problem of the homotopy types of \((n-1)\)-connected \((n+k)\)-dimensional polyhedra with \(2\) and \(3\)-torsion free homologies for \(n\geq k+1\). In particular, they classify these homotopy types of such polyhedra explicitly for \(k\leq 6\). The method is based on the matrix problem (bimodule categories) given by Drozd.