Groups of Invertible Binary Operations of a Topological Space

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.

6 pages. arXiv admin note: text overlap with arXiv:2307.06256

References in corpus (2)

• Groups of Binary Operations and Binary $G$-Spaces
• Equivariant Movability of Topological Groups

Cited by in corpus (5)

• On Orbits and Bi-invariant Subsets of Binary $G$-Spaces
• Bi-Equivariant Fibrations
• On transitive and homogeneous binary $G$-spaces
• Bi-Equivariant Extensions Of Maps
• On the Transitive Binary $G$-Spaces