In category of sets and relations, it is possible to describe functions in~purely category terms
Eurasian mathematical journal, Tome 6 (2015) no. 2, pp. 90-94.

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We prove that in the category of sets and relations, it is possible to describe functions in purely category terms.
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V. Kreinovich; M. Ceberio; Q. Brefort. In category of sets and relations, it is possible to describe functions in~purely category terms. Eurasian mathematical journal, Tome 6 (2015) no. 2, pp. 90-94. http://geodesic.mathdoc.fr/item/EMJ_2015_6_2_a6/

[1] S. Awodey, Category theory, Oxford University Press, Oxford, UK, 2010 | MR | Zbl

[2] A. G. Kusraev, S. S. Kutateladze, Boolean valued analysis, Kluwer Academic Publishers, Dordrecht, 1999 | MR | Zbl

[3] S. MacLane, Categories for the working mathematician, Springer-Verlag, Berlin–Heidelberg–New York, 1998 | MR

[4] V. L. Makarov, A. M. Rubinov, Mathematical theory of economic dynamics and equilibria, Springer-Verlag, New York, 1977 | MR | Zbl