A Typical Openness and Continuity in ξ-Nano Topological Spaces Via Ideals

Abstract

In this work, we present ξ-Nano ideal topological spaces by the context of idealizationin a general topological spaces and examine the connection between ξ-Nano topological space and ξ-Nano ideal topological spaces. Also we established a class of functions known as ξ- Nano ideal continuous functions and explored their properties interms ofξI –opensets and ξI -closedsets. Furthermore, Also we strive to establish the definitions of ξI -open maps and ξI -closed maps.