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

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

doi:10.1112/blms.13207

(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
Pages (from-to)	463-471
Number of pages	9
Journal	Bulletin of the London Mathematical Society
Volume	57
Issue number	2
Early online date	14 Dec 2024
DOIs	https://doi.org/10.1112/blms.13207
Publication status	Published - Feb 2025

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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.",

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AU - Cordes, Matthew

AU - Goldsborough, Antoine

AU - Sisto, Alessandro

AU - Zbinden, Stefanie

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JO - Bulletin of the London Mathematical Society

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

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