Forms weakly continuity using weak ω – open sets

operator Proximity in i-Topological Space

“…The i-topology, it is another form of topological spaces defined by the use of the family T with the ideal I , as it was defined by Irina Zvina in 2006 [6]. The Ψ-operator was defined by T. Natkaniec [5] which is defined as the complement of the local function in ideal topological spaces , where different types and studies wer presented of -operator and enrich this topic in the ideal topological spaces, and we will shed light on some of the researchers who worked in the fuzzy and soft topological spaces and proximity spaces And of them [9,10,17] In this paper, we will study the effects that can have on the -operator in the i-topological space using proximity spaces and using a set of principles that were previously studied 1. .…”

New Concepts of Dense set in i-Topological space and Proximity Space

“…2. the concept of ideal link between two itopological spaces presented in this paper is another from of the concept of coarser and finer in the previously defined topological spaces 3. Within the environment in which you work, we can apply the previous definitions in a set of concepts used by some researchers, such as the concept of w-open [17,18,19 ] and Para compactness [15,16 ], as well as the concept of soft set [1,12,13] and the concept of gem set [14]. .…”