Index filtrations and Morse decompositions for discrete dynamical systems
Annales Polonici Mathematici (1999)
- Volume: 72, Issue: 1, page 51-70
- ISSN: 0066-2216
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top- [C] C. Conley, Isolated Invariant Sets and the Morse Index, CBMS Regional Conf. Ser. in Math. 38, Amer. Math. Soc., Providence, 1980.
- [CoZ] C. Conley and R. Zehnder, Morse-type index theory for flows and periodic solutions for Hamiltonian systems, Comm. Pure Appl. Math. 37 (1984), 207-253. Zbl0559.58019
- [Fra1] R. Franzosa, Index filtrations and the homology index braid for partially ordered Morse decompositions, Trans. Amer. Math. Soc. 298 (1986), 193-213. Zbl0626.58013
- [Fra2] R. Franzosa, The connection matrix theory for Morse decompositions, ibid. 311 (1989), 561-592. Zbl0689.58030
- [Mr1] M. Mrozek, Index pairs and the fixed point index for semidynamical systems with discrete time, Fund. Math. 133 (1989), 179-194. Zbl0708.58024
- [Mr2] M. Mrozek, Leray functor and cohomological Conley index for discrete dynamical systems, Trans. Amer. Math. Soc. 318 (1990), 149-178. Zbl0686.58034
- [Mr3] M. Mrozek, Morse equation in Conley's index theory for homeomorphisms, Topology Appl. 38 (1991), 45-60. Zbl0725.58022
- [Re] J. Reineck, The connection matrix in Morse-Smale flows II, Trans. Amer. Math. Soc. 347 (1995), 2097-2110. Zbl0831.58031
- [Ri] D. Richeson, Connection matrix pairs for the discrete Conley index, ibid., to appear.
- [Sal] D. Salamon, Connected simple systems and the Conley index of isolated invariant sets, ibid. 291 (1985), 1-41.
- [Szy] A. Szymczak, The Conley index for discrete dynamical systems, Topology Appl. 66 (1995), 215-240. Zbl0840.34043