Hausdorff dimension and dendritic limit sets

被引：10

作者：

Bowditch, BH ^{[1
]}

机构：

[1] Univ Southampton, Fac Math Studies, Southampton SO7 1BJ, Hants, England

来源：

MATHEMATISCHE ANNALEN | 2005年 / 332卷 / 03期

关键词：

D O I：

10.1007/s00208-005-0647-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let 1' be a singly degenerate closed surface group acting properly discontinuously on hyperbolic 3-space, H-3, such that H-3/Gamma has positive injectivity radius. It is known that the limit set is a dendrite of Hausdorff dimension 2. We show that the cut-point set of the limit set has Hausdorff dimension strictly less than 2.

引用

页码：667 / 676

页数：10

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