2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107517The homotopy type of the complement of a complex coordinate subspace arrangement is studied by fathoming out the connection between its topological and combinatorial structures. A family of arrangements for which the complement is homotopy equivalent to a wedge of spheres is described. One consequence is an application in commutative algebra: certain local rings are proved to be Golod, that is, all Massey products in their homology vanish.42 pagesAlgebraic TopologyCommutative AlgebraCombinatorics13F55, 55P15The homotopy type of the complement of a coordinate subspace arrangementtext