Soft I-sets and Soft I-Continuity of Functions

Abstract

The topic of ideals in general topological spaces is treated in the classic text by Kuratowski [6]. This topic has an excellent potantial for applications in other branches of mathematics. The Cantor-Bendixson Theorem examplies this potantial. This subject was continued to study by general topologists in recent years [6; 11; 15; 17] : Kale and Guler [8] gave the denition of soft ideal in the soft topological spaces and studied some properties. In this paper, the soft I-continuous and soft I-open functions, has been defined and studied. Some characterizations and several properties concerning these functions are obtained.

Keywords

• Soft sets
• soft ideal
• soft continuity
• soft semi-I-continuouity

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