A cohomological Conley index for maps on metric spaces

DOI10.1016/0022-0396(91)90165-6zbMath0721.58040OpenAlexW2070627674MaRDI QIDQ2640967

Krzysztof P. Rybakowski, Marian Mrozek

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0022-0396(91)90165-6

zbMATH Keywords

homotopy invariancecohomological Conley indexadditivity propertiestime-periodic semilinear parabolic equations

Mathematics Subject Classification ID

Related Items (13)

Fixed point index and decompositions of isolated invariant compacta ⋮ Discrete Conley index and bifurcation points ⋮ The Conley index for maps in absence of compactness ⋮ The Conley index for discrete semidynamical systems ⋮ Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations ⋮ The Euler-Poincaré characteristic of index maps ⋮ Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems ⋮ The Conley index over a phase space for discrete semidynamical systems. ⋮ Discretized ordinary differential equations and the Conley index ⋮ Relative periodic point theory ⋮ The Conley index on compact ANR's is of finite type ⋮ On the discrete Conley index in the invariant subspace ⋮ Nonautonomous Conley index theory the connecting homomorphism

Cites Work

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• The Morse index, repeller-attractor pairs and the connection index for semiflows on noncompact spaces
• Discretized ordinary differential equations and the Conley index
• Index pairs and the fixed point index for semidynamical systems with discrete time
• On the Homotopy Index for Infinite-Dimensional Semiflows
• Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
• Nontrivial full bounded solutions of time-periodic semilinear parabolic PDEs
• Dynamical systems, shape theory and the Conley index

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