Lusternik‐Schnirelmann category and Morse decompositions

DOI10.1112/S0025579300015904zbMath1128.37302OpenAlexW2008020822MaRDI QIDQ4786410

Jose M. Rodriguez Sanjurjo

Publication date: 15 December 2002

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300015904

zbMATH Keywords

isolated invariant setconnecting orbitsunstable setattractor-repeller pairssaddle-sets

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Index theory for dynamical systems, Morse-Conley indices (37B30) Wild embeddings (57M30)

Related Items (3)

On relative category and Morse decompositions for infinite-dimensional dynamical systems ⋮ LUSTERNIK–SCHNIRELMANN CATEGORY BASED ON THE DISCRETE CONLEY INDEX THEORY ⋮ Topological robustness of non-saddle sets

Cites Work

• On category, in the sense of Lusternik-Schnirelmann
• On the structure of uniform attractors
• Attraction and nonsaddle sets in dynamical systems
• Every Attractor of a Flow on a Manifold has the Shape of a Finite Polyhedron
• Connected Simple Systems and The Conley Index of Isolated Invariant Sets
• Multihomotopy, Čech Spaces of loops and Shape Groups
• Dynamical systems, shape theory and the Conley index
• On the Lusternik-Schnirelmann category

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