Abstract
In this paper, the notions of transitivity and homogeneity in binary \(G\) -spaces are studied. These notions coincide for distributive binary \(G\) -spaces. For compact \(G\) , it is shown that distributive transitive binary \(G\) -spaces are coset spaces with a suitably defined binary \(G\) -action. Homogeneous binary \(G\) -spaces are topologically homogeneous and are separated into distinct stabilization types. Examples of each type are constructed.
