A characterization theorem for geometric logic

Details A characterization theorem for geometric logic A characterization theorem for geometric logic

2009-12-08

arxiv.org/abs/0912.1404v1

Mathematics

Category Theory

8 pages

Scientific paper

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.

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