The theory of time scales considers differential equations and difference equations as particular cases of a larger group of objects called dynamic equations, where the domain of a dynamic equation is any closed, non-empty subset of the real line, the hyperspace of all those sets is denoted by \(CL({\mathbb R})\). When the domain is the entire space \({\mathbb R}\), the dynamic equation becomes a differential equation, and when the domain is \({\mathbb Z}\) it becomes a difference equation. The field of time scales provides methods for solving dynamic equations that are independent of the domain. If a single dynamic equation is considered over a sequence of domains, and solutions are given over each domain, one can ask if the solutions converge when the domains converge. Thus a natural question is to determine the best topology to be considered in the hyperspace \(CL({\mathbb R})\). In this paper the authors examine various topologies on hyperspaces, after demonstrate that the Fell topology is the most appropriate for time scales, the authors review several theorems about convergence in hyperspaces of Hausdorff metric spaces under the Fell topology. Then they prove related theorems for the time scales case.