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arXiv · 1012.4370

On many-sorted $\omega$-categorical theories

Enrique Casanovas·Rodrigo Peláez·Martin Ziegler
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Abstract

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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Enrique Casanovas, Rodrigo Peláez, Martin Ziegler. 2010-12-20. On many-sorted $\omega$-categorical theories. https://arxiv.org/abs/1012.4370

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