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arxiv: 1012.4370 · v3 · pith:WBYABXLVnew · submitted 2010-12-20 · 🧮 math.LO

On many-sorted ω-categorical theories

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keywords categoricalomegamany-sortedtheoriestheoryapplicationcompactcompletely
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We prove that every many-sorted $\omega$-categorical theory is completely interpretable in a one-sorted $\omega$-categorical theory. As an application, we give a short proof of the existence of non $G$--compact $\omega$-categorical theories.

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