Configuration spaces and polyhedral products

This paper aims to find the most general combinatorial conditions under which a moment-angle complex (D2,S1)K is a co-H-space, thus splitting unstably in terms of its full subcomplexes. In this way we study to which extent the conjecture holds that a moment-angle complex over a Golod simplicial complex is a co-H-space. Our main tool is a certain generalisation of the theory of labelled configuration spaces.