Entangled Suslin lines and OGA
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 carroy2025 and answers a question from McKenney on MathOverflow Mckenney2014.
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