Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.16695 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916901752406016 |
|---|---|
| author | Kwiatkowska, Aleksandra Sullivan, Rob Winkel, Jeroen |
| author_facet | Kwiatkowska, Aleksandra Sullivan, Rob Winkel, Jeroen |
| contents | Let M be the generic poset, defined as the Fraïssé limit of the class of finite posets. We show that every countably infinite poset A can be embedded with coinfinite image into M so that each automorphism of the image of A extends uniquely to an automorphism of M. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16695 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Embeddings into the generic poset Kwiatkowska, Aleksandra Sullivan, Rob Winkel, Jeroen Logic 03C15, 06A07, 20B27, 06A06 Let M be the generic poset, defined as the Fraïssé limit of the class of finite posets. We show that every countably infinite poset A can be embedded with coinfinite image into M so that each automorphism of the image of A extends uniquely to an automorphism of M. |
| title | Embeddings into the generic poset |
| topic | Logic 03C15, 06A07, 20B27, 06A06 |
| url | https://arxiv.org/abs/2502.16695 |