Decomposition of α-continuity, α*g-continuity and g#closed sets in topology

In this paper, α*g closed, Dη*, Dη**, sets are defined and a schematic representation is obtained relating various open sets. Using these sets, α*g, Dη*, Dη**, continuities are defined and finally decompositions of α-continuity in terms of D*η*-continuity and α*g continuity, α*g-continuous in terms of D*η*continuous and continuous and a decomposition of continuity using g# continuous and g# lc* continuous are obtained.