DUAL-IDEAL TOPOLOGICAL SPACES

Abstract

An ideal in a topological space is a collection of subsets of the space which is closed under finite union and containing every subset of each set that it contains. An ideal topological space is a topological space with an ideal. The concept of ideal topological spaces is studied by Vaidyanathaswamy, Kuratowski, Noiri and many others. In this paper, we define a topology, called dual-ideal topology, on a given ideal topological space and study its properties.