The Morse index of an isolated invariant set is a connected simple system

DOI10.1016/0022-0396(81)90028-0zbMath0477.58029OpenAlexW1973349932MaRDI QIDQ1160974

Henry L. Kurland

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90028-0

zbMATH Keywords

index spacesMorse index of an isolated invariant setthe Morse index as a homotopy category of pointed spaces

Mathematics Subject Classification ID

Related Items (14)

Following homology in singularly perturbed systems ⋮ The Connection Matrix Theory for Morse Decompositions ⋮ Index Filtrations and the Homology Index Braid for Partially Ordered Morse Decompositions ⋮ The connection matrix theory for semiflows on (not necessarily locally compact) metric spaces ⋮ Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems ⋮ Mappings and homological properties in the Conley index theory ⋮ The Morse index, repeller-attractor pairs and the connection index for semiflows on noncompact spaces ⋮ A cohomological index of Conley type for multi-valued admissible flows ⋮ Homotopy invariants of repeller-attractor pairs. I: The Puppe sequence of an R-A pair ⋮ Connected Simple Systems and The Conley Index of Isolated Invariant Sets ⋮ The Continuation Theory for Morse Decompositions and Connection Matrices ⋮ Dynamical systems, shape theory and the Conley index ⋮ Homotopy invariants of repeller-attractor pairs. II: Continuation of R-A pairs ⋮ On the Two Definitions of the Conley Index

Cites Work

• Homotopy invariants of repeller-attractor pairs. II: Continuation of R-A pairs
• Isolated invariant sets in compact metric spaaces
• Cohomology of isolated invariant sets under perturbation
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