Geodesic
The homology of a~symmetric relation
Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 342-350

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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. 
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     author = {A. B. Sosinskii},
     title = {The homology of a~symmetric relation},
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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/