Geodesic
Characterization of the category of polygons
Sbornik. Mathematics, Tome 9 (1969) no. 4, pp. 455-465

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Necessary and sufficient conditions are proven for the equivalence of a category to the category of polygons over some monoid. As a corollary, a characterization of the category of sets is obtained. Bibliography : 7 titles. 
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     author = {L. A. Skornyakov},
     title = {Characterization of the category of polygons},
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L. A. Skornyakov. Characterization of the category of polygons. Sbornik. Mathematics, Tome 9 (1969) no. 4, pp. 455-465. http://geodesic.mathdoc.fr/item/SM_1969_9_4_a1/