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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
