2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52483A discretisation scheme that preserves topological features of a physical problem is extended so that differential geometric structures can be approximated in a consistent way thus giving access to the study of physical systems which are not solely topological theories. Issues of convergence and a numerical implementation are discussed. The follow-up article covers the resulting discretisation scheme with metric data.26 pages, improved version with Lie group interpretation. References addedHigh Energy Physics - Theorytext