Embeddings into the generic poset

2025/02/23 by Aleksandra Kwiatkowska, Kwiatkowska, Aleksandra, Rob Sullivan +3
Social Sciences · #03C15 #06A06 #06A07 #20B27 #FOS: Mathematics #Gender Studies in Language #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.2502.16695

openalex publication_date 2025/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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.

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