Giraldo, A.Rodríguez Sanjurjo, José Manuel2023-06-202023-06-201997-030166-864110.1016/S0166-8641(97)00098-9https://hdl.handle.net/20.500.14352/57668We show in this paper that the category of shape can be modelled in discrete terms using maps defined in dense subsets of compacta. This approach to shape provides in addition a characterization of the shape of compacta which does not require external elements and uses only continuous single-valued functions, in contrast with the existing internal characterizations of shape. As an application, we prove a connection between the notion of shape image, due to Lisica, and the basic notion of omega limit of a dynamical system.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0166864197000989http://www.sciencedirect.com/restricted access514515.1Density: Discrete map: Shape categoryShape image: Omega limit: Lyapunov stabilityGeometríaTopología1204 Geometría1210 Topología