(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
Journal	Bulletin of the London Mathematical Society
Early online date	14 Dec 2024
DOIs	https://doi.org/10.1112/blms.13207
Publication status	E-pub ahead of print - 14 Dec 2024

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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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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 - 2024/12/14

Y1 - 2024/12/14

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.

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U2 - 10.1112/blms.13207

DO - 10.1112/blms.13207

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

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