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arXiv · 0805.2187

Yoneda representations of flat functors and classifying toposes

Olivia Caramello
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Abstract

In this paper, we first introduce a technique that we call "Yoneda representation of flat functors", based on ideas from indexed category theory; then we provide applications of this technique to the theory of classifying toposes. Specifically, we obtain results characterizing the models of a theory classified by a topos of the form Sh(C,J) in terms of the models of a theory classified by the topos [C^op, Set].

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Olivia Caramello. 2008-05-15. Yoneda representations of flat functors and classifying toposes. https://arxiv.org/abs/0805.2187

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