Stable Set of Self-map
نویسنده
چکیده
The attracting set and the inverse limit set are important objects associated to a self-map on a set. We call stable set of the self-map the projection of the inverse limit set. It is included in the attracting set, but is not equal in the general case. Here we determine whether or not the equality holds in several particular cases, among which are the case of a dense range continuous function on an Hilbert space, and the case of a substitution over left infinite words. 2000 Mathematics Subject Classification: 20M30,37C25,68R15,20E05. keywords : self-map, orbit set, stable set, attracting set.
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تاریخ انتشار 2009