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arXiv · 2307.16539

Groups of Invertible Binary Operations of a Topological Space

Pavel S. Gevorgyan
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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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Pavel S. Gevorgyan. 2023-07-31. Groups of Invertible Binary Operations of a Topological Space. https://doi.org/10.3103/s106836231801003x

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