| Autor: |
G. N. Arzhantseva E. Guentner and J. Spakula |
| Rok vydání: |
2012 |
| Zdroj: |
Geometric and Functional Analysis |
| Popis: |
The concept of coarse embedding was introduced by Gromov in 1993. It plays an important role in the study of large scale geometry of groups and the Novikov higher signature conjecture. Guoliang Yu's property A is a weak amenability type condition that is satised by many known metric spaces. It implies the existence of a coarse embedding into a Hilbert space. We construct the rst example of a metric space with bounded geometry which coarsely embeds into a Hilbert space but does not have property A (in other words the rst example of the true coarse expander). |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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