We establish a criterion for deciding whether a class of structures is the class of models of a geometric theory inside Grothendieck toposes; then we specialize this result to obtain a characterization of the infinitary first-order theories which are geometric in terms of their models in Grothendieck toposes, solving a problem posed by Ieke Moerdijk in 1989. © 2010 Elsevier B.V.

A characterization theorem for geometric logic

CARAMELLO, OLIVIA
2011-01-01

Abstract

We establish a criterion for deciding whether a class of structures is the class of models of a geometric theory inside Grothendieck toposes; then we specialize this result to obtain a characterization of the infinitary first-order theories which are geometric in terms of their models in Grothendieck toposes, solving a problem posed by Ieke Moerdijk in 1989. © 2010 Elsevier B.V.
2011
Classifying topos; First-order theory; Geometric morphism; Geometric theory; Grothendieck topos; Subtopos; Logic
Caramello, Olivia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2063473
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