Further results on pre-T1/2-spaces

The aim of this paper is to discuss and investigate some characterizations for pre-T1/2-spaces. Also, the implication of this notion among themselves and with the well known axioms such as: pre-To, pre-T1 and pre-T2 are introduced. Further, we give the equivalence between pre-T1/2-space and some types of mappings. Furthermore we introduce and study the definition of pre-TD and pre-symmetric spaces and some of their properties are discussed.