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Sets of removable singularities and continuous maps

✍ Scribed by A. N. Gorban'


Book ID
112451309
Publisher
SP MAIK Nauka/Interperiodica
Year
1979
Tongue
English
Weight
285 KB
Volume
19
Category
Article
ISSN
0037-4466

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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