On Orbits and Bi-invariant Subsets of Binary $G$-Spaces

Abstract

Orbits and bi-invariant subsets of binary $G$-spaces are studied. The problem of the distributivity of a binary action of a group $G$ on a space $X$, which was posed in 2016 by one of the authors, is solved.

11 pages

References in corpus (2)

• Groups of Binary Operations and Binary $G$-Spaces
• Groups of Invertible Binary Operations of a Topological Space

Cited by in corpus (2)

• On Orbit Spaces of Distributive Binary $G$-Spaces
• Bi-Equivariant Fibrations