2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78125We analyze the limit of the p-form Laplacian under a collapse, with bounded sectional curvature and bounded diameter, to a smooth limit space. As an application, we characterize when the p-form Laplacian has small positive eigenvalues in a collapsing sequence.Final version of the case of a smooth limit space. The case of a singular limit space will appear separatelyDifferential Geometrytext