A new collection which contains the topology via ideals

Abstract

In 1999, Dontchev studied the concept of pre-I-open sets (Dontchev, 1999). In 2002, Hatir and Noiri studied the concept of semi-I-open sets (Hatir and Noiri, 2002). In 2013, Ekici studied the concept of CI∗-sets (Ekici, 2013). In this paper, the concept of ζ-I-open sets is introduced. The concept of ζ-I-open sets is related to topology, pre-I-open sets, semi-I-open sets and CI∗-sets. Main properties of ζ-I-open sets are presented.