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Trees of hyperbolic spaces

Published 19 Feb 2022 in math.GR | (2202.09526v1)

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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