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arXiv · 1608.01112

Towards a Characterization of Universal Categories

J. Nesetril·P. Ossona de Mendez
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Abstract

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.

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J. Nesetril, P. Ossona de Mendez. 2016-08-03. Towards a Characterization of Universal Categories. https://arxiv.org/abs/1608.01112

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