A-soft separation axioms in soft topological space

الملخص EN

The important science tools in a different kinds and specialties , that considered the basic mainstay of ( the set theory ) and because of huge development in all life fields.

This causes great problems , that need solution and parallel tools for those developments , so the scientis become responsible to work on the development of number theory and open new horizons , that a new science had appeared which is ( soft figures theory ) which is considered the important tool to solve most difficult problems or overcome them ,in these sciences and their specific life specialization, economy, medicine , geometry and others.

Also the theory of soft numbers had entered in general topology in power full and active way.

The last years a new science has appeared is (soft topological space).

The main idea of this research is to define the separation axioms in (soft topological space) and practically in certain point , and to study the most important properties and results of it .