Journal article
COMPARING THE FLOYD AND IDEAL BOUNDARIES OF A METRIC SPACE
In
Transactions of the American Mathematical Society
—
2009, Volume 361, Issue 2, pp. 715-734
Abstract
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.
| Language: | English |
|---|---|
| Publisher: | American Mathematical Society |
| Year: | 2009 |
| Pages: | 715-734 |
| ISSN: | 10886850 and 00029947 |
| Types: | Journal article |
| DOI: | 10.1090/S0002-9947-08-04580-7 |
Keywords
CAT(0)-spaces Floyd boundary Gromov boundary Gromov hyperbolicity Ideal boundary conformal distortion
Other keywords
