Groups of Binary Operations and Binary $G$-Spaces
General Topology
2023-07-13 v1
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 -spaces and bi-equivariant maps is constructed, which is a natural extension of the category of -spaces and equivariant maps. Results related to the foundations of the theory of binary -spaces are obtained.
Cite
@article{arxiv.2307.06256,
title = {Groups of Binary Operations and Binary $G$-Spaces},
author = {Pavel S. Gevorgyan},
journal= {arXiv preprint arXiv:2307.06256},
year = {2023}
}
Comments
12 pages