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arXiv · 2512.01065

Entangled Suslin lines and OGA

Carlos Martinez-Ranero·Lucas Polymeris
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Abstract

We construct a model of the Open Graph Axiom (OGA) in which there is a 2-entangled Suslin line $S$. Consequently, in this model, there is a 2-entangled uncountable linear order, but no such order is separable. This resolves a problem posed by Carroy, Levine, and Notaro \cite{carroy2025} and answers a question from McKenney on MathOverflow \cite{Mckenney2014}.

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BibTeXRIS

Carlos Martinez-Ranero, Lucas Polymeris. 2025-11-30. Entangled Suslin lines and OGA. https://arxiv.org/abs/2512.01065

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