Abstract
In this paper, continuous binary operations of a topological space are studied and a criterion of their invertibility is proved. The classification problem of groups of invertible continuous binary operations of locally compact and locally connected spaces is solved. A theorem on the binary distributive representation of a topological group is also proved.
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Original Russian Text © P. S. Gevorgyan, 2018, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2018, No. 1, pp. 37-44.
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Gevorgyan, P.S. Groups of Invertible Binary Operations of a Topological Space. J. Contemp. Mathemat. Anal. 53, 16–20 (2018). https://doi.org/10.3103/S106836231801003X
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DOI: https://doi.org/10.3103/S106836231801003X