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.
| Original language | English |
|---|---|
| Pages (from-to) | 685-700 |
| Number of pages | 16 |
| Journal | Journal of the London Mathematical Society |
| Volume | 62 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2000 Dec |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics
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