On the topology of ending lamination space

被引：9

作者：

Gabai, David ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

GEOMETRY & TOPOLOGY | 2014年 / 18卷 / 05期

基金：

美国国家科学基金会;

关键词：

TRANSFORMATIONS; CONNECTIVITY; GEOMETRY; COMPLEX; CURVES; SETS;

D O I：

10.2140/gt.2014.18.2683

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if S is a finite-type orientable surface of genus g and with p punctures, where 3g + p >= 5 , then EL(S) is (n - 1)connected and (n - 1)locally connected, where dim(PML(S)) = 2n + 1= 6g + 2p - 7 . Furthermore, if g = 0 , then EL(S) is homeomorphic to the (p - 4)dimensional Nobeling space. Finally if n not equal 0 , then FPML(S) is connected

引用

页码：2683 / 2745

页数：63

共 42 条

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