Аннотация:In this paper, the authors present new proofs of theorems they proved earlier using results
of de Vries and of Smirnov. For example, they present a new argument for an earlier result which gives a condition which assures that βG X is the Samuel compactification of X with respect to a particular uniformity. They also prove a theorem which gives nice descriptions of
G-spaces in certain circumstances. For example, they show that if a G-space satisfies a certain condition, then it is the union of a disjoint union of clopen sets, each of which is the closure of an orbit.