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

Xiangdong Ye

doi:10.1017/S0004972700015768

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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 .

References

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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