On Feebly Dispersive G-Spaces

Abstract

In this paper we introduce a new type of G-spaces which we call it a feebly dispersive G-space. We give the definition by depending on the definition of an feebly neighborhood which itself depends on the concept of an feebly-open set . Also, we study its equivalent definitions, properties, subspace, product space, and equivariant homeomorphic image . Moreover we study the relation between the feebly dispersive G -spaces ,and each of the feebly Cartan G-spaces ,and the sets and respectively. Finally we give an example when the converse may not be true .