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Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity
Published online by Cambridge University Press: 11 March 2024
Abstract
In this note, we present examples of non-quasi-geodesic metric spaces which are hyperbolic (i.e., satisfying Gromov’s $4$-point condition) while the intersection of any two metric balls therein does not either ‘look like’ a ball or has uniformly bounded eccentricity. This answers an open question posed by Chatterji and Niblo.
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- Research Article
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
Footnotes
JZ was partly supported by National Key R&D Program of China 2022YFA100700.