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arXiv:2307.06256 [math.GN]AbstractReferencesReviewsResources

Groups of Binary Operations and Binary $G$-Spaces

Pavel S. Gevorgyan

Published 2023-07-12Version 1

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.

Comments: 12 pages
Journal: Topology and its Applications, 201(2016), 18-28
Categories: math.GN
Subjects: 54H15, 57S99
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