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arXiv · 2502.16695

Embeddings into the generic poset

Aleksandra Kwiatkowska·Rob Sullivan·Jeroen Winkel
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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.

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Aleksandra Kwiatkowska, Rob Sullivan, Jeroen Winkel. 2025-02-23. Embeddings into the generic poset. https://arxiv.org/abs/2502.16695

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