EMBEDDINGS INTO THE GENERIC POSET

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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Publication Details

Journal
Journal of Symbolic Logic
Published
2026-10-30
DOI
https://doi.org/10.1017/jsl.2026.10262
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

EMBEDDINGS INTO THE GENERIC POSET

Jeroen Winkel, Rob Sullivan
Journal of Symbolic Logic
Advanced Topology and Set Theory
article

EMBEDDINGS INTO THE GENERIC POSET

Jeroen Winkel, Rob Sullivan
article en

Abstract

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 .

Journal of Symbolic Logic
Czech Academy of Sciences (CZ), Charles University (CZ), University of Wrocław (PL), University of Münster (DE)
Deutsche Forschungsgemeinschaft, Grantová Agentura České Republiky
Openalex Percentile: Top 90%
Advanced Topology and Set Theory
DOIOpen Access PDFOpenAlex
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