分层双曲边界的结构不变特性

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2024-03-25 DOI:10.1142/s1793525323500516

Carolyn Abbott, Jason Behrstock, Jacob Russell

引用次数: 0

摘要

我们证明了层次双曲群边界的几个拓扑和动力学性质与具体的层次双曲结构无关。这是通过证明边界在前两位作者和杜伦提出的 "最大化 "程序下是不变的来实现的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Structure invariant properties of the hierarchically hyperbolic boundary

We prove several topological and dynamical properties of the boundary of a hierarchically hyperbolic group are independent of the specific hierarchically hyperbolic structure. This is accomplished by proving that the boundary is invariant under a “maximization” procedure introduced by the first two authors and Durham.

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.