Atomic toposes and countable categoricity

Details Atomic toposes and countable categoricity Atomic toposes and countable categoricity

2008-11-21

arxiv.org/abs/0811.3547v1

Mathematics

Category Theory

16 pages

Scientific paper

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.

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