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arXiv · 2405.17572

(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.

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Ruth Charney, Matthew Cordes, Antoine Goldsborough, Alessandro Sisto, Stefanie Zbinden. 2024-11-19. (Non-)existence of Cannon-Thurston maps for Morse boundaries. https://arxiv.org/abs/2405.17572

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