2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62604Given a construction of smooth homotopy class invariants of smooth immersions $M^n\to R^{n+k}$. The particular case of $k=1, n\ge 1$ is a sequence of non-zero integrals, where the $n=2$ term is the Gauss-Bonnet integral6 pages, LaTeX; inductive definition of curvature in polyhedral terms addedDifferential GeometryGauss-Bonnet type theorems in any dimensiontext