Geodesic
Semigroups of Relatively Continuous Binary Relations
Matematičeskie zametki, Tome 113 (2023) no. 6, pp. 807-819

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All isomorphisms between semigroups of relatively continuous binary relations defined on arbitrary topological spaces are described. As a corollary, the absolute definability of any nontrivial topological space by the semigroup of all of its relatively continuous binary relations is proved.
Keywords: binary relation, topological space, semigroup of relatively continuous binary relations, isomorphism of semigroups, induced isomorphism, absolute definability. 
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     author = {V. I. Varankina and E.M. Vechtomov},
     title = {Semigroups of {Relatively} {Continuous} {Binary} {Relations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {807--819},
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     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2023_113_6_a1/}
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V. I. Varankina; E.M. Vechtomov. Semigroups of Relatively Continuous Binary Relations. Matematičeskie zametki, Tome 113 (2023) no. 6, pp. 807-819. http://geodesic.mathdoc.fr/item/MZM_2023_113_6_a1/