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Continuous Maps of the Interval with Finite Nonwandering Set

✍ Scribed by Louis Block


Book ID
125680196
Publisher
American Mathematical Society
Year
1978
Tongue
English
Weight
346 KB
Volume
240
Category
Article
ISSN
0002-9947

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Continuous maps of trees and nonwanderin
✍ Hiroshi Hosaka; Hisao Kato πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 771 KB

Let f be a continuous map of a tree X into itself. Let Q(j) denote the set of nonwandering points for f. In this paper we show the following two results: (1) if C?(f) is finite then Q(f) is the set of periodic points of f, (2) Q(f) IS contained in the closure of the set of eventually periodic points