On Orbit Spaces of Distributive Binary $G$-Spaces

TL;DR

This paper investigates the properties of orbit spaces arising from distributive binary G-spaces, especially focusing on cases where the acting group G is compact, and establishes several key properties.

Contribution

It introduces new properties of orbit spaces for distributive binary G-spaces with compact groups, expanding understanding of their structure.

Findings

Properties of orbit spaces are established for compact binary G-spaces.

New structural insights into distributive binary G-spaces are provided.

Abstract

The orbit space of a distributive binary $G$-space is studied. A number of its properties in the case of a compact binarily acting group $G$ are established.