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arXiv 0811.3547math.CTmath.LO
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原子序与可数范畴

Atomic toposes and countable categoricity

Olivia Caramello

摘要:

我们给出了一个模型理论的性质的类的几何理论分类的原子拓扑有足够的点,特别是,我们表明,每一个完整的几何理论分类的原子拓扑是可数范畴。并讨论了一些应用。

英文摘要:

We give a model-theoretic characterization of the class of geometric theories classified by an atomic topos having enough points; in particular, we show that every complete geometric theory classified by an atomic topos is countably categorical. Some applications are also discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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