On Soft Topological Spaces

The first aim of this book is to generalize the concept of soft topology on a properties of a topological space. This study includes the following aspects ,study the relation between (crisp set, fuzzy set, soft set) and also between (topology, fuzzy topology, soft topology), define and study some properties and theorems of soft connected spaces and soft compact space, soft bounded set, finite soft set ,define a soft usual topology, soft cofinite topology, soft Heine - Borel theorem and converse of soft Heine - Borel theorem, define the soft hereditary property and define a new types of soft sets and study the relation between them, define soft homeomorhpism, soft topological property, declared with many examples,show that the space being soft connected is not necessary a soft hereditary property even on soft open set which is different from general topology, study the properties that make a soft set be soft compact, define C ¿- space, study soft topological property on soft separation axioms.