Topological equivalence of submersion functions and topological equivalence of their foliations on the plane: the linear-like case

Francisco Braun, Ingrid S. Meza-Sarmiento

Let $f,g:{\mathbb{R}}^2\to \mathbb{R}$ be two submersion functions and $\mathcal{F}(f)$ and $\mathcal{F}(g)$ be the regular foliations of ${\mathbb{R}}^2$ whose leaves are the conne…