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A note about the shape of attractors of discrete semidynamical systems

Author(s): Manuel A. Morón; Francisco R. Ruiz del Portal
Journal: Proc. Amer. Math. Soc. 134 (2006), 2165-2167.
MSC (2000): Primary 54H20
Posted: January 31, 2006
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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:

1.

M. Gobbino, Topological properties of attractors for dynamical systems, Topology 40, 2 (2001), 279-298. MR 1808221 (2002f:37027)

2.

M. Gobbino, M. Sardella, On the connectedness of attractors for dynamical systems, Journal of Diff. Equations 133 (1997)

1-14. MR 1426754 (98e:58113)

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S. Mardešic, J. Segal, Shape theory, North-Holland, Amsterdam, 1982. MR 0676973 (84b:55020)

4.

E. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966. MR 0210112 (35:1007)

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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

DOI: 10.1090/S0002-9939-06-08305-5
PII: S 0002-9939(06)08305-5
Keywords: Attractor, discrete (semi)dynamical systems, shape theory.
Received by editor(s): February 24, 2005
Posted: January 31, 2006
Additional Notes: The authors were supported by MCyT, BFM 2003-0825.
Communicated by: Alexander N. Dranishnikov
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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