2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129640In the context of Synthetic Differential Geometry, we describe a notion of higher connection with values in a cubical groupoid. We do this by exploiting a certain structure of cubical complex derived from the first neighbourhood of the diagonal of a manifold. This cubical complex consists of infinitesimal parallelelpipeda.31 pagesCategory Theory18D05; 22A22; 51K10text