RT Journal Article T1 Multivalued maps, selections and dynamical systems A1 Sánchez Gabites, Jaime Jorge A1 Rodríguez Sanjurjo, José Manuel AB Under suitable hypotheses the well known notion of first prolongational set J(+) gives rise to a multivalued map Psi : X -> 2(X) which is continuous when the upper semifinite topology is considered in the hyperspace of X. Some important dynamical concepts such as stability or attraction can be easily characterized in terms of Psi and moreover, the classical result that an attractor in R '' has the shape of a finite polyhedron can be reinforced under the hypotheses that the mapping Psi is small and has a selection. PB Elsevier Science SN 0166-8641 YR 2008 FD 2008-04 LK https://hdl.handle.net/20.500.14352/50149 UL https://hdl.handle.net/20.500.14352/50149 LA eng DS Docta Complutense RD 25 abr 2026