A TOPOLOGICAL CHARACTERIZATION OF THE STRONG DISK PROPERTY ON OPEN RIEMANN SURFACES

被引：0

作者：

Abe, Makoto ^{[1
]}

Nakamura, Gou ^{[2
]}

Shiga, Hiroshige ^{[3
,4
]}

机构：

[1] Hiroshima Univ, Nat Sci Res Div, Sch Integrated Arts & Sci, 1-7-1 Kagamiyama, Higashihiroshima 7398521, Japan

[2] Aichi Inst Technol, Sci Div, Ctr Gen Educ, 1247 Yachigusa, Toyota 4700392, Japan

[3] Tokyo Inst Technol, Dept Math, Sch Sci, Meguro Ku, Tokyo 1528551, Japan

[4] Kyoto Sangyo Univ, Dept Math, Kita Ku, Kyoto 6038555, Japan

来源：

KODAI MATHEMATICAL JOURNAL | 2019年 / 42卷 / 03期

关键词：

Riemann surface; Runge domain; strong disk property;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a topological characterization of a subdomain G of an open Riemann surface R which has the strong disk property. Namely, we show that the domain G satisfies the strong disk property in R if and only if the canonical homo-morphism pi(1)(G) -> pi(1) (R) is injective.

引用

页码：587 / 592

页数：6

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