RT Journal Article
T1 Knotted toroidal sets, attractors and incompressible surfaces
A1 Barge, Héctor
A1 Sánchez Gabites, Jaime Jorge
AB In this paper we give a complete characterization of those knotted toroidal sets that can be realized as attractors for discrete or continuous dynamical systems globally defined in R3. We also see that the techniques used to solve this problem can be used to give sufficient conditions to ensure that a wide class of subcompacta of R3 that are attractors for homeomorphisms must also be attractors for flows. In addition we study certain attractor-repeller decompositions of S3 which arise naturally when considering toroidal sets.
PB Birkhäuser
SN 1022-1824
SN 1420-9020
YR 2024
FD 2024
LK https://hdl.handle.net/20.500.14352/114692
UL https://hdl.handle.net/20.500.14352/114692
LA eng
NO 2024 Acuerdos transformativos CRUE
NO Ministerio de Ciencia e Innovación
DS Docta Complutense
RD 14 dic 2025