Authors

Citation

Xd. Ye, Non-wandering points and the depth of a graph map, J AUS MAT A, 69, 2000, pp. 143-152

Citations number

13

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Mathematics

Journal title

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS

ISSN journal

0263-6115
→ ACNP

Volume

69

Year of publication

2000

Part

2

Pages

143 - 152

Database

ISI

SICI code

0263-6115(200010)69:<143:NPATDO>2.0.ZU;2-C

Abstract

Let f : G --> G be a continuous map of a graph and let d(A) denote the deri
ved set (or limit points) of A subset of G. We prove that d(Omega>(*) over
bar * (f)) subset of Lambda>(*) over bar * (f) and the depth of f is at mos
t three. We also prove that if f is piecewise monotone or has zero topologi
cal entropy, then the depth of f is at most two. Furthermore, we obtain som
e results on the topological structure of Omega>(*) over bar * (f). 2000 Ma
thematics subject classification: primary 54H20, 58F03.