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arxiv: 2508.06449 · v2 · pith:RJD5NGVVnew · submitted 2025-08-08 · 🧮 math.LO

Independence relations in the Solovay model I

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keywords modelgeometricsolovayaxiomatizationbalancedclassicalconcisedevelopment
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I provide a novel geometric axiomatization of the Solovay model. This serves as a vehicle for concise and forcing-free proofs of classical results in the model, as well as a tool for a purely geometric development of the theory of balanced forcing.

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