Abstract
As already remarked by Eilenberg and MacLane in their seminal paper on categorytheory, preordered classes can be considered as thin categories, that is, categoriesfor which each Hom-set contains at most one element. In this paper I brieflydescribe how this identification not only allows much of the theory of orderstructures to be reformulated in categorical terms, but also permits the applicationof general categorical techniques to specific order-theoretic problems.
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Moore, D.J. Fundamental Structures in Physics: A Categorical Approach. International Journal of Theoretical Physics 39, 793–799 (2000). https://doi.org/10.1023/A:1003618727831
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DOI: https://doi.org/10.1023/A:1003618727831