Geodesic
The homology of a symmetric relation
Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 342-350 
A. B. Sosinskii. The homology of a symmetric relation. Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 342-350. http://geodesic.mathdoc.fr/item/SM_1972_18_2_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A homology theory is presented for the category of sets with a given reflexive and symmetric relation. There is defined in this category the notion of homotopy equivalence; the theory satisfies the analogs of the Eilenberg–Steenrod axioms and yields a theorem on almost fixed points. Bibliography: 7 titles.

[1] E. C. Zeeman, “The Topology of the Brain and Visual Perception”, The Topology of $3$-manifolds, Englewood, New York, Prentice Hall, 1962, 240–248 | MR

[2] E. C. Zeeman, Topology of the brain, Math, and computer science in biology and medecine, Medical research council, 1965. | Zbl

[3] C. H. Dowker, “Homology of a relation”, Ann. Math., 56 (1952), 84–95 | DOI | MR | Zbl

[4] E. Spener, Algebraicheskaya topologiya, Mir, Moskva, 1971 | MR | Zbl

[5] P. Dzh. Khilton, S. Uaili, Teoriya gomologii, Mir, Moskva, 1966

[6] S. Maklein, Gomologiya, Mir, Moskva, 1966

[7] N. Stinrod, S. Eilenberg, Osnovaniya algebraicheskoi topologii, Gostekhizdat, Moskva, 1958