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Explicit Constructions of Universal R-Trees and Asymptotic Geometry of Hyperbolic Spaces |
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| Authors: | Dyubina, Anna Polterovich, Iosif |
| Affiliation: | School of Mathematical Sciences, Tel Aviv University Ramat Aviv, Israel; annadi{at}math.tau.ac.il Department of Mathematics, The Weizmann Institute of Science Rehovot, Israel; iossif{at}wisdom.weizmann.ac.il |
| Abstract: | This paper presents explicit constructions of universal R-treesas certain spaces of functions, and also proves that a  -universal R-tree can be isometricallyembedded at infinity into a complete simply connected manifoldof negative curvature, or into a non-abelian free group. Incontrast to asymptotic cone constructions, asymptotic spacesare built without using the axiom of choice. 2000 MathematicsSubject Classification L53C23, 20F67. |
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