Cargando…
Morse subsets of CAT(0) spaces are strongly contracting
We prove that Morse subsets of CAT(0) spaces are strongly contracting. This generalizes and simplifies a result of Sultan, who proved it for Morse quasi-geodesics. Our proof goes through the recurrence characterization of Morse subsets.
| Autor principal: | |
|---|---|
| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer Netherlands
2019
|
| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7194253/ https://www.ncbi.nlm.nih.gov/pubmed/32382199 http://dx.doi.org/10.1007/s10711-019-00457-x |
| _version_ | 1783528316154675200 |
|---|---|
| author | Cashen, Christopher H. |
| author_facet | Cashen, Christopher H. |
| author_sort | Cashen, Christopher H. |
| collection | PubMed |
| description | We prove that Morse subsets of CAT(0) spaces are strongly contracting. This generalizes and simplifies a result of Sultan, who proved it for Morse quasi-geodesics. Our proof goes through the recurrence characterization of Morse subsets. |
| format | Online Article Text |
| id | pubmed-7194253 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2019 |
| publisher | Springer Netherlands |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-71942532020-05-05 Morse subsets of CAT(0) spaces are strongly contracting Cashen, Christopher H. Geom Dedic Original Paper We prove that Morse subsets of CAT(0) spaces are strongly contracting. This generalizes and simplifies a result of Sultan, who proved it for Morse quasi-geodesics. Our proof goes through the recurrence characterization of Morse subsets. Springer Netherlands 2019-05-10 2020 /pmc/articles/PMC7194253/ /pubmed/32382199 http://dx.doi.org/10.1007/s10711-019-00457-x Text en © The Author(s) 2019 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| spellingShingle | Original Paper Cashen, Christopher H. Morse subsets of CAT(0) spaces are strongly contracting |
| title | Morse subsets of CAT(0) spaces are strongly contracting |
| title_full | Morse subsets of CAT(0) spaces are strongly contracting |
| title_fullStr | Morse subsets of CAT(0) spaces are strongly contracting |
| title_full_unstemmed | Morse subsets of CAT(0) spaces are strongly contracting |
| title_short | Morse subsets of CAT(0) spaces are strongly contracting |
| title_sort | morse subsets of cat(0) spaces are strongly contracting |
| topic | Original Paper |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7194253/ https://www.ncbi.nlm.nih.gov/pubmed/32382199 http://dx.doi.org/10.1007/s10711-019-00457-x |
| work_keys_str_mv | AT cashenchristopherh morsesubsetsofcat0spacesarestronglycontracting |