Resumen de A Topological Classification of Interval Mappings with Finitely Many Discontinuous Points

Jinghua Liu, Lin Li

• Topological conjugacy plays an important role in the study of dynamical systems andfunctional equations. In this paper, a topological classification for monotone functionswith finitely many discontinuous points is considered. By introducing the definitionof symbolic vector for discontinuous functions, we present necessary and sufficientconditions to determine the conjugate relations between these functions. Moreover,the explicit expressions for those conjugacies are also given. Finally, as an application,our results are applied to the study of classification of generalized Lorenz maps.