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arXiv · 2307.06256

Groups of Binary Operations and Binary $G$-Spaces

Pavel S. Gevorgyan
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Abstract

The group of continuous binary operations on a topological space is studied; its relationship with the group of homeomorphisms is established. The category of binary $G$-spaces and bi-equivariant maps is constructed, which is a natural extension of the category of $G$-spaces and equivariant maps. Results related to the foundations of the theory of binary $G$-spaces are obtained.

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BibTeXRIS

Pavel S. Gevorgyan. 2023-07-12. Groups of Binary Operations and Binary $G$-Spaces. https://doi.org/10.1016/j.topol.2015.12.024

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