The Conley index over a base

DOI10.1090/S0002-9947-00-02163-2zbMath0967.37011OpenAlexW1534481908MaRDI QIDQ4485733

Roman Srzednicki, James F. Reineck, Marian Mrozek

Publication date: 18 June 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02163-2

zbMATH Keywords

Conley indexisolated invariant setcontinuationfiberwise pointed space

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) Fibrewise topology (55R70)

Related Items

Obstructions to Asymptotic Stabilization ⋮ Homotopical dynamics IV. Hopf invariants and Hamiltonian flows ⋮ Strong Conley index over a phase space ⋮ Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems ⋮ Homotopy Conley index for discrete multivalued dynamical systems ⋮ The external multiplication for the Conley index ⋮ The Conley index over a phase space for discrete semidynamical systems. ⋮ Excision-preserving cubical approach to the algorithmic computation of the discrete Conley index ⋮ The Conley index, cup-length and bifurcation

Cites Work

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• The homotopy index and partial differential equations
• Connected simple systems and the Conley functor
• The Conley index over a space
• Isolated invariant sets in compact metric spaaces
• The Complement of a Finitely Generated Direct Summand of an Abelian Group
• Cancellation in Direct Sums of Groups