CAT(0) HNN-extensions with non-locally connected boundary

被引：5

作者：

Mihalik, M ^{[1
]}

Ruane, K ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2001年 / 110卷 / 01期

关键词：

CAT(0) spaces and boundaries; local connectivity; HNN-extensions;

D O I：

10.1016/S0166-8641(99)00169-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main result of this paper shows that when a certain type of HNN-extension acts geometrically on a CAT(0) space, the boundary of the space is not locally connected. The motivating example is an HNN-extension that arises from studying parabolic semidirect products of F-2 and Z. We show all such semidirect products act on the CAT(0) space constructed here. We explicitly identify a point of non-local connectivity in the boundary of this space as a guide to reading the proof of the main theorem. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：83 / 98

页数：16

共 9 条

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