Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-05T06:54:36.687Z Has data issue: false hasContentIssue false

CLOSURE OF PERIODIC POINTS OVER A NON-ARCHIMEDEAN FIELD

Published online by Cambridge University Press:  13 February 2001

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

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
Copyright
The London Mathematical Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)