Continuous maps of trees and nonwanderin
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Hiroshi Hosaka; Hisao Kato
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Article
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1997
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Elsevier Science
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English
β 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