The Boundary at Infinity of a Rough CAT(0) Space
We develop the boundary theory of rough CAT(0) spaces, a class of length spaces that contains both Gromov hyperbolic length spaces and CAT(0) spaces. The resulting theory generalizes the common features of the Gromov boundary of a Gromov hyperbolic length space and the ideal boundary of a complete C...
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De Gruyter
2014-01-01
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| Series: | Analysis and Geometry in Metric Spaces |
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| Online Access: | https://doi.org/10.2478/agms-2014-0002 |
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doaj-83b628be8c4a46a4a5c8acd0cde5a0c52021-09-06T19:41:04ZengDe GruyterAnalysis and Geometry in Metric Spaces2299-32742014-01-012110.2478/agms-2014-0002agms-2014-0002The Boundary at Infinity of a Rough CAT(0) SpaceBuckley S.M.0Falk K.1Department of Mathematics and Statistics, National University of Ireland Maynooth, Maynooth, Co. Kildare, IrelandUniversität Bremen, FB 3 - Mathematik, Bibliothekstraße 1, 28359 Bremen, GermanyWe develop the boundary theory of rough CAT(0) spaces, a class of length spaces that contains both Gromov hyperbolic length spaces and CAT(0) spaces. The resulting theory generalizes the common features of the Gromov boundary of a Gromov hyperbolic length space and the ideal boundary of a complete CAT(0) space. It is not assumed that the spaces are geodesic or properhttps://doi.org/10.2478/agms-2014-0002cat(0) spacegromov hyperbolic spacerough cat(0) spaceideal boundarygromov boundarybouquet boundary |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Buckley S.M. Falk K. |
| spellingShingle |
Buckley S.M. Falk K. The Boundary at Infinity of a Rough CAT(0) Space Analysis and Geometry in Metric Spaces cat(0) space gromov hyperbolic space rough cat(0) space ideal boundary gromov boundary bouquet boundary |
| author_facet |
Buckley S.M. Falk K. |
| author_sort |
Buckley S.M. |
| title |
The Boundary at Infinity of a Rough CAT(0) Space |
| title_short |
The Boundary at Infinity of a Rough CAT(0) Space |
| title_full |
The Boundary at Infinity of a Rough CAT(0) Space |
| title_fullStr |
The Boundary at Infinity of a Rough CAT(0) Space |
| title_full_unstemmed |
The Boundary at Infinity of a Rough CAT(0) Space |
| title_sort |
boundary at infinity of a rough cat(0) space |
| publisher |
De Gruyter |
| series |
Analysis and Geometry in Metric Spaces |
| issn |
2299-3274 |
| publishDate |
2014-01-01 |
| description |
We develop the boundary theory of rough CAT(0) spaces, a class of length spaces that contains both Gromov hyperbolic length spaces and CAT(0) spaces. The resulting theory generalizes the common features of the Gromov boundary of a Gromov hyperbolic length space and the ideal boundary of a complete CAT(0) space. It is not assumed that the spaces are geodesic or proper |
| topic |
cat(0) space gromov hyperbolic space rough cat(0) space ideal boundary gromov boundary bouquet boundary |
| url |
https://doi.org/10.2478/agms-2014-0002 |
| work_keys_str_mv |
AT buckleysm theboundaryatinfinityofaroughcat0space AT falkk theboundaryatinfinityofaroughcat0space AT buckleysm boundaryatinfinityofaroughcat0space AT falkk boundaryatinfinityofaroughcat0space |
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1717767112000274432 |