Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.07200 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917863272480768 |
|---|---|
| author | Kazmi, Waseet |
| author_facet | Kazmi, Waseet |
| contents | The goal of this paper is to show the following result: For every integer $n\geq 2$ there is a countable orderable group such that its space of orders is countable and has Cantor-Bendixson rank $n$. We show this by explicitly constructing a family of orderable groups with the desired properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07200 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Space of orders with finite Cantor-Bendixson rank Kazmi, Waseet Group Theory 06F15, 20F60 The goal of this paper is to show the following result: For every integer $n\geq 2$ there is a countable orderable group such that its space of orders is countable and has Cantor-Bendixson rank $n$. We show this by explicitly constructing a family of orderable groups with the desired properties. |
| title | Space of orders with finite Cantor-Bendixson rank |
| topic | Group Theory 06F15, 20F60 |
| url | https://arxiv.org/abs/2305.07200 |