MICRO $\alpha g $-CONTINUOUS MAPS IN MICRO TOPOLOGICAL SPACES

Abstract

In this paper, we introduce and study the properties of Micro $\alpha g$-closure operator and Micro $\alpha g$-interior operator. As an application of Micro $\alpha g$-closed sets, we introduce four new spaces namely, Micro $\alpha$-space, Micro $_{\alpha}T_{b}$-space, Micro $_{1/2}T_{\alpha}$-space, Micro $_{\alpha}T_{d}$-space and analyze their properties and interrelations. Further, we introduce a new notion of Micro continuous maps called Micro $\alpha g$-continuous maps with the help of Micro $\alpha g$-closed sets. Also, we obtain interrelationships between the newly defined maps and already existing various Micro continuous maps. Finally, we derive some basic properties of Micro $\alpha g$-continuous maps via separation axioms.