The Pre T ½ Spaces (The New Further Results)

We give the equivalence between pre T ½ space and some types of mappings. The aim of this paper is to discuss and investigate some characterizations for pre T ½ spaces. Also, the implication of this notion among themselves and with the well-known axioms such as : pre-T0, pre-T1 and pre-T2 are introduced. Furthermore we introduce and study the definition of preTD and pre-symmetric spaces and some of their properties are discussed.