Geodesic
Characterization of the category of polygons
Sbornik. Mathematics, Tome 9 (1969) no. 4, pp. 455-465 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] P. Kon, Universalnaya algebra, Mir, M., 1968 | MR

[2] A. G. Kurosh, A. X. Livshits, E. G. Shulgeifer, “Osnovy teorii kategorii”, Uspekhi matem. nauk, 15:6(96) (1960), 3–52 | MR | Zbl

[3] S. Maklein, Gomologiya, Mir, M., 1966

[4] L. A. Skornyakov, “O gomologicheskoi klassifikatsii monoidov”, Sib. matem. zh., 10:5 (1969), 1139–1143

[5] P. Berthiaume, “The injedtive envelope of $S$-sets”, Canad. Math. Bull., 10 (1967), 261–273 | MR | Zbl

[6] F. W. Lawvere, “An elementary theory of the category of sets”, Proc. Nat. Acad. Sci. USA, 52:6 (1964), 1506–1511 | DOI | MR | Zbl

[7] B. Mitchell, Theory of categories, Academic Press, New York, London, 1965 | MR | Zbl