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arXiv · 2202.09526

Trees of hyperbolic spaces

Michael Kapovich·Pranab Sardar
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Abstract

We give an alternative proof of the Bestvina--Feighn combination theorem for trees hyperbolic spaces and describe uniform quasigeodesics in such spaces. As one of the applications, we prove the existence of Cannon-Thurston maps for inclusion maps of total spaces of subtrees of hyperbolic spaces.

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Michael Kapovich, Pranab Sardar. 2022-02-19. Trees of hyperbolic spaces. https://arxiv.org/abs/2202.09526

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