Cutpoints of CAT(0) groups
Duration: 59 mins 19 secs
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About this item
| Description: |
Papasoglu, P (University of Oxford)
Friday 13th January 2017 - 10:00 to 11:00 |
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| Created: | 2017-02-01 16:03 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Papasoglu, P |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | (Joint with Eric Swenson)
It is known that if the boundary of a 1-ended hyperbolic group G has a local cut point then G splits over a 2-ended group. We prove a similar theorem for CAT(0) groups, namely that if a finite set of points separates the boundary of a 1-ended CAT(0) group G then G splits over a 2-ended group. Along the way we prove two results of independent interest: we show that continua separated by finite sets of points admit a tree-like decomposition and we show a splitting theorem for nesting actions on R-trees. |
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