Given topological spaces X,Y , a fundamental problem of algebraic topology is understanding the structure of all continuous maps X → Y . We consider a computational version, where X,Y are given as finite simplicial complexes, and the goal is to compute [X,Y ], i.e., all homotopy classes of such maps. We solve this problem in the stable range, where for some d ≥ 2, we have dimX ≤ 2d−2 and Y is (...