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arXiv · 2212.13605

Vaught's conjecture for theories of discretely ordered structures

Predrag Tanović
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Abstract

Let $T$ be a countable complete first-order theory with a definable, infinite, discrete linear order. We prove that $T$ has continuum-many countable models. The proof is purely first-order, but raises the question of Borel completeness of $T$.

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Predrag Tanović. 2022-12-27. Vaught's conjecture for theories of discretely ordered structures. https://doi.org/10.1215/00294527-2024-0014

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