A note about the shape of attractors of discrete semidynamical systems
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- by Manuel A. Morón and Francisco R. Ruiz del Portal PDF
- Proc. Amer. Math. Soc. 134 (2006), 2165-2167 Request permission
Abstract:
We state in a short way a result that improves one of the main theorems in a paper of M. Gobbino concerning the topological properties that the phase space induces in an attractor of a discrete dynamical system.References
- Massimo Gobbino, Topological properties of attractors for dynamical systems, Topology 40 (2001), no. 2, 279–298. MR 1808221, DOI 10.1016/S0040-9383(99)00061-0
- Massimo Gobbino and Mirko Sardella, On the connectedness of attractors for dynamical systems, J. Differential Equations 133 (1997), no. 1, 1–14. MR 1426754, DOI 10.1006/jdeq.1996.3166
- Sibe Mardešić and Jack Segal, Shape theory, North-Holland Mathematical Library, vol. 26, North-Holland Publishing Co., Amsterdam-New York, 1982. The inverse system approach. MR 676973
- Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
Additional Information
- Manuel A. Morón
- Affiliation: Departamento de Geometría y Topología, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Madrid, 28040, Spain
- Email: MA_Moron@mat.ucm.es
- Francisco R. Ruiz del Portal
- Affiliation: Departamento de Geometría y Topología, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Madrid, 28040, Spain
- Email: R_Portal@mat.ucm.es
- Received by editor(s): February 24, 2005
- Published electronically: January 31, 2006
- Additional Notes: The authors were supported by MCyT, BFM 2003-0825.
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2165-2167
- MSC (2000): Primary 54H20
- DOI: https://doi.org/10.1090/S0002-9939-06-08305-5
- MathSciNet review: 2215789