On the components of the unstable set of isolated invariant sets

DOI10.1016/j.topol.2023.108581OpenAlexW4377861781WikidataQ121746734 ScholiaQ121746734MaRDI QIDQ6053445

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Publication date: 27 September 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108581

zbMATH Keywords

Alexander-Spanier cohomologyČech homologyisolated invariant setsunstable setquasicomponents

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30) ?ech types (55N05)

Cites Work

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• Density and finiteness. A discrete approach to shape
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• Cohomology theory for general spaces
• Homology groups of relations
• Dynamics and eigenvalues in dimension zero
• An Intrinsic Description of Shape
• Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
• Dynamical systems, shape theory and the Conley index
• Shift equivalence and the Conley index
• Finite approximations to Čech homology

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