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Polyhedral structure of maximal Gromov hyperbolic spaces with finite boundary

Polyhedral structure of maximal Gromov hyperbolic spaces with finite boundary

The boundary $\partial X$ of a boundary continuous Gromov hyperbolic space $X$ carries a natural Moebius structure on the boundary. For a proper, geodesically complete, boundary continuous Gromov hyperbolic space $X$, the boundary $\partial X$ equipped with its cross-ratio is a particular kind of quasi-metric space, called a quasi-metric antipodal …