International Research Journal of Education and Technology

The purpose of this paper is to introduced a new concept of spaces called micro ideal topological spaces and investigate the relation between micro topological space and micro ideal topological spaces. We define some closed sets in these spaces to establish their relationships. Basic properties and characterizations related to these sets are given. We introduced and studied the new concepts is called micro regular-open set, micro π-open set in micro topological spaces and also the new concepts called mI-open, α-mI-open, pre-mI-open, semi-mI-open, b-mIopen, β-mI-open, regular mI-closed, which are simple forms of micro open sets in an micro ideal topological spaces. Also we characterize the relations between them and the related properties

 Keywords : ideal topological spaces, ideal local function, micro topological spaces, micro ideal topological spaces, mI-open, semi-mI-open, α-mI-open, pre-mI-open, b-mI-open and β-mI-open, regular mI-closed.