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The centre and the depth of the centre of a tree map

Published online by Cambridge University Press:  17 April 2009

Xiangdong Ye
Affiliation:
Department of Mathematics USTC Hefei Anhui 230026, People's Republic of China
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Let X be a tree and f be a continuous map from X into itself. Denote by P(f) and R(f) the set of periodic points and the set of recurrent points of f respectively. We show in this note that the centre is and the depth of the centre is at most 3. Furthermore we have .

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1993

References

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