Horseshoes and the Conley index spectrum - II: The theorem is sharp

Discrete and Continuous Dynamical Systems

Volumn 5, Issue 3, 1999, Pages 599-616

  Carbinatto, M C ^a   Mischaikow, K ^b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Conley index spectrum; Conley index theory; Horseshoes; Isolating neighborhoods; Symbolic dynamics

Indexed keywords

EID: 0033422647     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. M. C. Carbinatto, J. Kwapisz and K. Mischaikow, Horseshoes and the Conley Index Spectrum, preprint CDSNS96-247.
2. C. Conley, Isolated Invariant Sets and the Morse Index, CBMS Reg. Conf. Ser. in Math. 38, AMS, Providence, 1978.
3. K. Mischaikow and M. Mrozek, Isolating neighborhoods and Chaos, Japan JIAM 12 (1995) 205-236.
4. M. Mrozek, Leray functor and cohomological Conley index for discrete dynamical systems, Trans. AMS 318 (1990) 149-178.
5. M. Mrozek, The Conley index on compact ANR's is of finite type, Results Math. 18 (1990) 306-313.
6. M. Mrozek, Index pairs and the fixed point for semidynamical systems with discrete time, Fund. Math. 133 (1989) 179-194.
7. A. Szymczak, The Conley index and symbolic dynamics, Topology 35 (1996) 287-299.
8. A. Szymczak, The Conley index for discrete semidynamical systems, Topology Appl. 66 (1996) 215-240.