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5 - What is a hierarchically hyperbolic space?

from Part Two - Expository Articles

Published online by Cambridge University Press:  22 June 2019

Edited by
Mark Hagen ,
Richard Webb  and
Henry Wilton
Mark Hagen
Affiliation:
University of Bristol
Richard Webb
Affiliation:
University of Cambridge
Henry Wilton
Affiliation:
University of Cambridge
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Summary

The first part of this survey is a heuristic, non-technical discussion of what an HHS is, and the aim is to provide a good mental picture both to those actively doing research on HHSs and to those who only seek a basic understanding out of pure curiosity. It can be read independently of the second part, which is a detailed technical discussion of the axioms and the main tools to deal with HHSs.

Keywords

Hierarchically hyperbolic spacehyperbolic spaceCAT(0) cube complexright-angled Artin groupmapping class groupTeichmüller spacegraph of groupshierarchy pathdistance formulaBehrstock inequalityfactored space
Type
Chapter
Information
Beyond Hyperbolicity , pp. 117 - 148
Publisher: Cambridge University Press
Print publication year: 2019

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