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CLOSURE OF PERIODIC POINTS OVER A NON-ARCHIMEDEAN FIELD

Published online by Cambridge University Press:  13 February 2001

LIANG-CHUNG HSIA
LIANG-CHUNG HSIA
Affiliation:
Department of Mathematics, National Central University, Chung-Li, Taiwan; [email protected]
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Abstract

The closure of the periodic points of rational maps over a non-archimedean field is studied. An analogue of Montel's theorem over non-archimedean fields is first proved. Then, it is shown that the (nonempty) Julia set of a rational map over a non-archimedean field is contained in the closure of the periodic points.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 685 - 700
Copyright
The London Mathematical Society 2000

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