Beyrer, Jonas; Schroeder, Victor (2017). Trees and ultrametric Möbius structures. p-Adic Numbers, Ultrametric Analysis and Applications, 9(4):247-256.
We define the concept of an ultrametric Möbius space (Z,M) and show that the boundary at infinity of a nonelementary geodesically complete tree is naturally an ultrametric Möbius space. In addition, we construct to a given ultrametric Möbius space (Z,M) a nonelementary geodesically complete tree, unique up to isometry, with (Z,M) being its boundary at infinity. This yields a one-to-one correspondence.
We define the concept of an ultrametric Möbius space (Z,M) and show that the boundary at infinity of a nonelementary geodesically complete tree is naturally an ultrametric Möbius space. In addition, we construct to a given ultrametric Möbius space (Z,M) a nonelementary geodesically complete tree, unique up to isometry, with (Z,M) being its boundary at infinity. This yields a one-to-one correspondence.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 1 November 2017 |
| Deposited On: | 18 Jan 2018 10:08 |
| Last Modified: | 23 Nov 2023 08:08 |
| Publisher: | Springer |
| ISSN: | 2070-0466 |
| Funders: | Schweizerischer Nationalfonds |
| Additional Information: | This is a post-peer-review, pre-copyedit version of an article published in p-Adic Numbers, Ultrametric Analysis and Applications. The final authenticated version is available online at: https://doi.org/10.1134/S207004661704001X |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1134/S207004661704001X |
Beyrer, Jonas