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. Various results on atomic toposes are also established, and some applications are discussed. © Springer Science+Business Media B.V. 2011.

Atomic toposes and countable categoricity

CARAMELLO, OLIVIA
2012-01-01

Abstract

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. Various results on atomic toposes are also established, and some applications are discussed. © Springer Science+Business Media B.V. 2011.
2012
Atomic theory; Atomic topos; Boolean topos; Countably categorical theory; Geometric theory; Type; Theoretical Computer Science; Computer Science (all)
Caramello, Olivia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2063470
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