Comparing the Floyd and Ideal Boundaries of a Metric Space
نویسندگان
چکیده
There are various notions of “boundaries at infinity” of metric spaces in the literature. Perhaps the best known is the ideal boundary ∂IX defined using geodesic rays, and particularly studied for the classes of CAT(0) and proper geodesic Gromov hyperbolic spaces. Closely related to this is the concept of a Gromov boundary ∂GX defined using Gromov sequences (or “sequences converging to infinity”). For more on both of these concepts, see for instance [BH], [GH], [CDP], [BHK], and [V]. The Gromov boundary is usually defined only for Gromov hyperbolic spaces but we extend this concept to arbitrary metric spaces.
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