
arXiv: 2307.06256
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.
12 pages
54H15, 57S99, General Topology (math.GN), FOS: Mathematics, Mathematics - General Topology
54H15, 57S99, General Topology (math.GN), FOS: Mathematics, Mathematics - General Topology
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