Lyapunov maps, simplicial complexes and the Stone functor

DOI10.1017/S0143385700006647zbMath0737.58033OpenAlexW2140082096MaRDI QIDQ3363360

Dietmar A. Salamon, Joel W. Robbin

Publication date: 1992

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700006647

zbMATH Keywords

Stone dualitysimplicial complexconnection matrixLyapunov map

Mathematics Subject Classification ID

Stone spaces (Boolean spaces) and related structures (06E15) Ergodic theory (37A99)

Related Items

An Algorithmic Approach to Lattices and Order in Dynamics ⋮ Lattice structures for attractors. III ⋮ Computing Connection Matrices via Persistence-Like Reductions ⋮ Spectral splittings in the Conley index theory ⋮ A computational framework for connection matrix theory ⋮ Lattice structures for attractors. II ⋮ RG flows and bifurcations ⋮ Tame flows ⋮ Shift equivalence and the Conley index ⋮ Lattice structures for attractors. I ⋮ Simplical models for the global dynamics of attractors ⋮ Morse–Conley–Floer homology

Cites Work

• Unnamed Item
• Unnamed Item
• On the filtered differential group
• The Morse equation in Conley's index theory for homeomorphisms
• Index Filtrations and the Homology Index Braid for Partially Ordered Morse Decompositions
• The Connection Matrix Theory for Morse Decompositions
• The Continuation Theory for Morse Decompositions and Connection Matrices
• Morse Theory, the Conley Index and Floer Homology
• Connected Simple Systems and The Conley Index of Isolated Invariant Sets
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Smoothing Derivatives of Functions and Applications
• A simple triangulation method for smooth manifolds
• Differentiable dynamical systems
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]