A characterization theorem for geometric logic

  • Caramello O
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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.

Author-supplied keywords

  • Classifying topos
  • First-order theory
  • Geometric morphism
  • Geometric theory
  • Grothendieck topos
  • Subtopos

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  • Olivia Caramello

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