2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226918Generic smooth plane-to-plane map germs are topologically equivalent to cones of mappings of the circle. We carry out a complete topological classification of smooth stable mappings of the circle and show how this classification leads, via the result mentioned above, to a topological classification of finitely determined real analytic plane-to-plane map germs.19 pages, 2 figuresDifferential GeometryClassical Analysis and ODEstext