Properties of attractors of generic homeomorphisms

Ergodic Theory and Dynamical Systems

Volumn 16, Issue 6, 1996, Pages 1297-1310

  Hurley, Mike ^a  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030355334     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385700010038     Document Type: Article

References (14)

1. C. Conley. Isolated Invariant Sets and the Morse Index. C.B.M.S. publication #38, A.M.S., Providence, 1978.
2. E. M. Coven, J. Madden and Z. Nitecki. A note on generic properties of continuous maps. Ergodic Theory and Dynamical Systems II. Birkhäuser, Boston, 1982, pp. 97-101.
3. V. A. Dobrynskiǐ. Dynamical systems with stable prolongation are typical. Dynamical Systems and Questions of Stability for Differential Equations. Kiev, 1973, pp. 43-53. (In Russian.)
4. J. Franks. A variation of the Poincaré-Birkhoff theorem. Hamiltonian Dynamical Systems (Contemp. Math. vol. 81) A.M.S., Providence, 1988, pp. 111-117.
5. M. Hurley. Noncompact chain recurrence and attraction. Proc. A.M.S. 115 (1992), 1139-1148.
6. M. Hurley. Generic homeomorphisms have no smallest attractors. Proc. A.M.S. 123 (1995), 1277-1280.
7. 0 general density theorem. Proc. A.M.S. 124 (1996), 1305-1309.
8. J. Kennedy. The topology of attractors. Ergod. Th. & Dynam. Sys. pp. 1311-1322 of this issue.
9. J. Munkres. Obstructions to the smoothing of piecewise-differentiable homeomorphisms. Ann. Math. 72 (1960), 521-554.
10. Z. Nitecki and M. Shub. Filtrations, decompositions, and explosions. Amer. J. Math. 97 (1976), 1029-1047.
11. J. Palis, C. Pugh, M. Shub and D. Sullivan. Genericity theorems in topological dynamics. Dynamical System - Warwick 1974 (Lecture Notes in Mathematics 468), Springer, New York, 1975, pp. 241-250.
12. M. Shub. Structurally stable diffeomorphisms are dense. Bull. A.M.S. 78 (1972), 817-818.
13. F. Takens. On Zeeman's tolerance stability conjecture. Manifolds - Amsterdam 1970 (Lecture Notes in Mathematics 197). Springer, New York, 1970, pp. 209-219.
14. P. Walters. On the pseudo-orbit tracing property and its relationship to stability. The Structure of Attractors in Dynamical Systems (Lecture Notes in Mathematics 668). Springer, New York, 1978, pp. 231-244.