Closure of periodic points over a non-archimedean field

Liang Chung Hsia

doi:10.1112/S0024610700001447

Closure of periodic points over a non-archimedean field

Liang Chung Hsia^*

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

59 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	685-700
頁數	16
期刊	Journal of the London Mathematical Society
卷	62
發行號	3
DOIs	https://doi.org/10.1112/S0024610700001447
出版狀態	已發佈 - 2000 12月
對外發佈	是

ASJC Scopus subject areas

一般數學

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10.1112/S0024610700001447

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AB - 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.

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Closure of periodic points over a non-archimedean field

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