2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216508In this paper we establish a connection between the loop space homology of the generalization of wedge defined by a simplicial complex K (so called polyhedral product) and the homology of certain diagonal arrangements associated with K. We illustrate these results by finding the presentations of those loop homology algebras for certain K generalizing results of Panov-Ray, Papadima-Suciu, Lemaire. Finally, we show that in the case when the functor is applied to suspensions, this homology splitting comes from the stable homotopy splitting of the loop spaces.32 pagesAlgebraic TopologyCommutative Algebra14N20; 18G15; 55P35; 55Q15text