TITLE:
On Standard Concepts Using ii-Open Sets
AUTHORS:
Beyda S. Abdullah, Amir A. Mohammed
KEYWORDS:
α-Open Set, ii-Open Set, Separation Axioms
JOURNAL NAME:
Open Access Library Journal,
Vol.6 No.9,
September
17,
2019
ABSTRACT: Following Caldas in [1] we introduce and study topological properties of ii-derived, ii-border, ii-frontier, and ii-exterior of a set using the concept of ii-open sets. Moreover, we prove some further properties of the well-known notions of ii-closure and ii-interior. We also study a new decomposition of ii-continuous functions. Finally, we introduce and study some of the separation axioms specifically T0ii, T1ii.