Publication: Research - peer-review › Journal article – Annual report year: 2009
We discuss and compare the notions of ideal boundaries, Floyd boundaries and Gromov boundaries of metric spaces. The three types of boundaries at infinity are compared in the general setting of unbounded length spaces as well as in the special cases of CAT(0) and Gromov hyperbolic spaces. Gromov boundaries, usually defined only for Gromov hyperbolic spaces, are extended to arbitrary metric spaces.
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- Ideal boundary, Floyd boundary, Gromov hyperbolicity, conformal distortion, Gromov boundary, CAT(0)-spaces