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Towards a Characterization of Universal Categories

In this note we characterize, within the framework of the theory of finite set, those categories of graphs that are {\em algebraic universal} in the sense that every concrete category embeds in them. The proof of the characterization is based on the sparse--dense dichotomy and its model theoretic equivalent.

preprint2016arXivOpen access
J. NesetrilP. Ossona de Mendez
math.COmath.CT
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J. NesetrilP. Ossona de Mendez

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