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A note about the shape of attractors of discrete semidynamical systems
Authors:
Manuel A. Morón and Francisco R. Ruiz del Portal
Journal:
Proc. Amer. Math. Soc. 134 (2006), 2165-2167
MSC (2000):
Primary 54H20
Posted:
January 31, 2006
MathSciNet review:
2215789
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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)
- 3.
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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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:
http://dx.doi.org/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
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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