RT Journal Article
T1 Morse-Smale equations of non-saddle decompositions
A1 Giraldo, A.
A1 Rodríguez Sanjurjo, José Manuel
AB The notion of a non-saddle decomposition of a compact ANR is introduced. This notion extends that of a an attractor-repeller pair. Some cohomological properties of non-saddle decompositions are studied. In particular, some inequalities in the spirit of the Morse-Smale equations for attractor-repeller pairs are obtained. These inequalities involve the ranks of the cohomological Conley index and also of a new cohomological invariant introduced here. The notion of a cyclic Morse decomposition is also introduced and it is proved that this kind of decomposition admits filtrations by non-saddle sets. Finally, these filtrations are used to obtain Morse-Smale equations that generalize those of a Morse decomposition.
PB Elsevier Science
SN 0166-8641
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/50157
UL https://hdl.handle.net/20.500.14352/50157
LA eng
NO International Conference on Topology and Its Applications, SEP 02-09, 2000, Ohrid, MACEDONIA
DS Docta Complutense
RD 5 abr 2025