RT Journal Article
T1 Density and finiteness. A discrete approach to shape
A1 Giraldo, A.
A1 Rodríguez Sanjurjo, José Manuel
AB 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.
PB Elsevier Science
SN 0166-8641
YR 1997
FD 1997-03
LK https://hdl.handle.net/20.500.14352/57668
UL https://hdl.handle.net/20.500.14352/57668
LA eng
DS Docta Complutense
RD 16 abr 2025