On the Hopf Index and the Conley Index

DOI10.2307/2001432zbMath0712.34062OpenAlexW4230698127MaRDI QIDQ3497410

Christopher K. McCord

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001432

zbMATH Keywords

homology Conley indexConley-Euler numbersPoincaré Hopf index theorem

Mathematics Subject Classification ID

Related Items (10)

Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations ⋮ Generalized Lefschetz theorem and a fixed point index formula ⋮ The geometry and integrability of the Suslov problem ⋮ The Arnold conjecture in \(\mathbb{CP}^n\) and the Conley index ⋮ A Conley index study of the evolution of the Lorenz strange set ⋮ Symmetric Liapunov center theorem for minimal orbit ⋮ Unstable manifold, Conley index and fixed points of flows ⋮ Unstable attractors in manifolds ⋮ Spinorial Yamabe Type Equations on S³ via Conley Index ⋮ Barcodes and area-preserving homeomorphisms

Cites Work

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• Some mathematical problems concerning the ecological principle of competitive exclusion
• Connected Simple Systems and The Conley Index of Isolated Invariant Sets
• Mappings and homological properties in the Conley index theory
• Poincare-Lefschetz Duality for the Homology Conley Index
• Differential Topology
• Dynamical systems, shape theory and the Conley index
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• A generalized Poincaré index formula

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