Weakly m-compact via a hereditary class

The idea of generalized topology and hereditary classes was introduced and studied by Császár in [1] and [3], respectively. The purpose of the present paper is to introduce and investigate the class of a weakly μH-compact space which is a natural generalization of a weakly compact space [10]. And also we define and investigate the notion of weakly μH-compact subsets. The strategy of using generalized topologies and hereditary classes to extend classical topological concepts have been used by many authors such as [3], [5], [7], and [12].