A new approach in topology via elements of an ideal
Keywords:α*ɪ-open, α-open, α*ɪ-closed, ideal, α-ɪ-open, *-dense, *-continuous
New approaches in topology or related branches of mathematics have contributed in a valuable way to the science, and have yielded various new topics for investigation. The main goal of this paper is to examine a new approach and so a new form of open sets via elements of an ideal. The concept of α*ɪ-open sets is introduced and discussed.