%0 Journal Article
%A Giraldo, A.
%A Rodríguez Sanjurjo, José Manuel
%T Density and finiteness. A discrete approach to shape
%D 1997
%@ 0166-8641
%U https://hdl.handle.net/20.500.14352/57668
%X We 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.
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