The Pre T 12 spaces (the new further results)‎

الملخص EN

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.