RT Journal Article
T1 Some duality properties of non-saddle sets
A1 Giraldo, A.
A1 Alonso Morón, Manuel
A1 Romero Ruiz Del Portal, Francisco
A1 Rodríguez Sanjurjo, José Manuel
AB We show in this paper that the class of compacts that call be isolated non-saddle sets of flows in ANRs is precisely the class of compacta with polyhedral shape. We also prove-reinforcing the essential role played by shape theory in this setting-that the Conley index of a regular isolated non-saddle set is determined, in certain cases, by its shape. We finally introduce and study the notion of dual of a non-saddle set. Examples of compacta related by duality are attractor-repeller pairs. We use the complement theorems in shape theory to prove that the shape of the dual set is determined by the shape of the original non-saddle set.
PB Elsevier Science
SN 0166-8641
YR 2001
FD 2001-06-29
LK https://hdl.handle.net/20.500.14352/57293
UL https://hdl.handle.net/20.500.14352/57293
LA eng
NO Giraldo, A., Alonso Morón, M., Romero Ruiz Del Portal, F., Rodríguez Sanjurjo, J. M. «Some Duality Properties of Non-Saddle sets☆☆The Authors Are Supported by DGESIC.» Topology and Its Applications, vol. 113, n.o 1-3, junio de 2001, pp. 51-59. DOI.org (Crossref), https://doi.org/10.1016/S0166-8641(00)00017-1.
NO DGESIC
DS Docta Complutense
RD 4 abr 2025