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Soft set is a completely generic mathematical tool for modeling uncertainties. Topology is a branch of mathematics, whose concepts exist not only in almost all branches of mathematics, but also in many real life applications. This paper mainly focuses on soft continuous functions and soft product topology. The concept soft homeomorphism and soft subbasis is also introduced and results based on these concepts are also obtained. It is also introduced the concept of soft connectedness and soft compactness. Moreover separation axioms on soft topological space are also studied and derived some relationship among these concepts.

This chapter discusses different soft set topologies using binary soft set relations. The relationship between soft set topologies and different relations are investigated and some of the properties of these soft set topologies are obtained. The concept of topology generated by relations in the context of soft sets seems to be a promising tool for further research in the area of mathematics of soft sets.

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