This is a preview of subscription content, log in via an institution to check access.
References
J. Banks, J. Brooks, G. Cairns, G. Davis, P. Stacey,On Devaney's definition of chaos, Amer. Math. Monthly 99 (1992), pp. 332–334
R.L. Devaney,Introduction to chaotic dynamical systems, 2nd ed., Addison-Wesley, 1989
B. Günther,A compactum, that cannot be an attractor of a selfmap on a manifold, To appear in Proc. Amer. Math. Soc.
S. Mardešić and J. Segal,Shape theory, Mathematical Library, vol. 26, North Holland, 1982.
R.M. Schori,Chaos: An introduction to some topological aspects, Continuum Theory and Dynamical Systems (Morton Brown, ed.), AMS, 1991, Contemporary Mathematics 117, pp. 149–161.
H. Seifert and W. Threlfall,Lehrbuch der Topologie, Chelsea, 1980.
E.H. Spanier,Algebraic topology, McGraw-Hill, 1966
R.F. Williams,Expanding attractors, Publicationes IHES 43 (1974), pp. 169–203
Author information
Authors and Affiliations
Additional information
The roader should be warned that this term is used in the literature for a variety of different concepts
This article was processed by the author using the Springer-Verlag TEX mamath macro package 1990.
Rights and permissions
About this article
Cite this article
Günther, B. Attractors which are homeomorphic to compact abelian groups. Manuscripta Math 82, 31–40 (1994). https://doi.org/10.1007/BF02567683
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02567683