Embeddings into the generic poset
Logic
2025-08-19 v2
Abstract
Let M be the generic poset, defined as the Fra\"iss\'e 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.
Cite
@article{arxiv.2502.16695,
title = {Embeddings into the generic poset},
author = {Aleksandra Kwiatkowska and Rob Sullivan and Jeroen Winkel},
journal= {arXiv preprint arXiv:2502.16695},
year = {2025}
}
Comments
16 pages. Minor formatting changes from first version