(Non-)existence of Cannon–Thurston maps for Morse boundaries

Ruth Charney; Matthew Cordes; Antoine Goldsborough; Alessandro Sisto; Stefanie Zbinden

(Non-)existence of Cannon–Thurston maps for Morse boundaries

Ruth Charney, Matthew Cordes, Antoine Goldsborough, Alessandro Sisto, Stefanie Zbinden

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Abstract

We show that the Morse boundary exhibits interesting examples of both the existence and non-existence of Cannon--Thurston maps for normal subgroups, in contrast with the hyperbolic case.

Original language	English
Journal	Bulletin of the London Mathematical Society
Publication status	Accepted/In press - 17 Nov 2024

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"This is the peer reviewed version of the following article: '(Non-)existence of Cannon-Thurston maps for Morse boundaries', which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited."
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title = "(Non-)existence of Cannon–Thurston maps for Morse boundaries",

abstract = "We show that the Morse boundary exhibits interesting examples of both the existence and non-existence of Cannon--Thurston maps for normal subgroups, in contrast with the hyperbolic case.",

author = "Ruth Charney and Matthew Cordes and Antoine Goldsborough and Alessandro Sisto and Stefanie Zbinden",

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journal = "Bulletin of the London Mathematical Society",

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T1 - (Non-)existence of Cannon–Thurston maps for Morse boundaries

AU - Charney, Ruth

AU - Cordes, Matthew

AU - Goldsborough, Antoine

AU - Sisto, Alessandro

AU - Zbinden, Stefanie

PY - 2024/11/17

Y1 - 2024/11/17

N2 - We show that the Morse boundary exhibits interesting examples of both the existence and non-existence of Cannon--Thurston maps for normal subgroups, in contrast with the hyperbolic case.

AB - We show that the Morse boundary exhibits interesting examples of both the existence and non-existence of Cannon--Thurston maps for normal subgroups, in contrast with the hyperbolic case.

M3 - Article

SN - 0024-6093

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

ER -

(Non-)existence of Cannon–Thurston maps for Morse boundaries

Abstract

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