投影复合体和准中间地图

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2021-08-30 DOI:10.2140/agt.2022.22.3277

M. Hagen, H. Petyt

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引用次数: 7

摘要

我们使用Bestvina- Bromberg- Fujiwara的投影复杂机制来研究分层双曲群。特别地，我们证明了如果群具有BBF着色并且其相关的双曲空间与树是拟等距的，那么群是拟等距的有限维CAT(0)立方体复形。我们推导了各种性质，包括层次拟凸子集的Helly性质。

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Projection complexes and quasimedian maps

We use the projection complex machinery of Bestvina--Bromberg--Fujiwara to study hierarchically hyperbolic groups. In particular, we show that if the group has a BBF colouring and its associated hyperbolic spaces are quasiisometric to trees, then the group is quasiisometric to a finite-dimensional CAT(0) cube complex. We deduce various properties, including the Helly property for hierarchically quasiconvex subsets.

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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.