Topological equivalence of smooth functions with isolated critical points on a closed surfaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79522We consider functions with isolated critical points on a closed surface. We prove that in a neighborhood of a critical point the function conjugates with Re$z^k$ for the some nonnegative integer k. The full topological invariant of such functions is constructed.12 pages without figuresGeometric Topology57R45; 57R70; 58C27Topological equivalence of smooth functions with isolated critical points on a closed surfacestext