Quasiregular maps S-3->S-3 with wild branch sets

被引：25

作者：

Heinonen, J ^{[1
]}

Rickman, S ^{[1
]}

机构：

[1] HELWAN UNIV,DEPT MATH,HELSINKI 00100,FINLAND

来源：

TOPOLOGY | 1998年 / 37卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0040-9383(97)00015-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two examples of quasiregular maps S-3-->S-3 that branch on a wild Cantor set are constructed. As an application it is shown that certain interesting 3-dimensional metric spaces recently constructed by Semmes admit Lipschitz branched covers onto S-3. Moreover, it is shown that a uniformly quasiconformal group of Freedman and Skora acting on S-3 and not topologically conjugate to a Mobius group is quasiregularly semiconjugate to a Mobius group. (C) 1997 Elsevier Science Ltd.

引用

页码：1 / 24

页数：24

共 13 条

[1]

[Anonymous], 1993, ERGEBNISSE MATH IHRE

[2] CONSTRUCTION OF BRANCHED COVERINGS OF LOW-DIMENSIONAL MANIFOLDS [J].