LUSTERNIK–SCHNIRELMANN CATEGORY BASED ON THE DISCRETE CONLEY INDEX THEORY
From MaRDI portal
Publication:5229060
DOI10.1017/S0017089518000447zbMath1423.55002OpenAlexW2899420436MaRDI QIDQ5229060
Publication date: 13 August 2019
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0017089518000447
Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterizations of tree-like continua
- Lusternik-Schnirelmann theory for a Morse decomposition
- Isolating blocks and epsilon chains for maps
- On category, in the sense of Lusternik-Schnirelmann
- On the discrete Conley index in the invariant subspace
- The Conley index for discrete semidynamical systems
- The Lusternik-Schnirelmann category of metric spaces
- On topological infinite deficiency
- Isolated invariant sets in compact metric spaaces
- Index pairs and the fixed point index for semidynamical systems with discrete time
- Connected Simple Systems and The Conley Index of Isolated Invariant Sets
- Morse decompositions and connection matrices
- On expansiveness of shift homeomorphisms of inverse limits of graphs
- Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
- A combinatorial procedure for finding isolating neighbourhoods and index pairs
- Dynamical systems, shape theory and the Conley index
- Lectures on Morse theory, old and new
- Lusternik‐Schnirelmann category and Morse decompositions
- Shift equivalence and the Conley index
- Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
- Locally flat imbeddings of topological manifolds