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
收藏
页码：587 / 592
页数：6
相关论文
共 50 条
12345