A survey on Morse boundaries and stability

Matthew Cordes

doi:10.1017/9781108559065.007

A survey on Morse boundaries and stability

Matthew Cordes

Research output: Chapter in Book/Report/Conference proceeding › Chapter

5 Citations (Scopus)

Abstract

The goal of this survey is to define and explain the Morse boundary of a geodesic space, a generalisation of the Gromov boundary of a hyperbolic space that records the “hyperbolic directions” in the space.This article relates Morse boundaries to the notion of stability, which generalises to arbitrary geodesic spaces the notion of quasiconvexity in hyperbolic spaces.

Original language	English
Title of host publication	Beyond Hyperbolicity
Editors	Mark Hagen, Richard Webb, Henry Wilton
Publisher	Cambridge University Press
Pages	83-116
Number of pages	34
ISBN (Electronic)	9781108559065
ISBN (Print)	9781108447294
DOIs	https://doi.org/10.1017/9781108559065.007
Publication status	Published - 22 Jun 2019

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10.1017/9781108559065.007

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A survey on Morse boundaries and stability

Abstract

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