In a recent paper by T. Noiri [1], a function f : X → Y is said to be weakly α -continuous if f : X α → Y is weakly continuous where X α is the space X endowed with the α -topolooy. Smilarly, we define subweak α -continuity and almost α -continuity and show that almost α -continuity coincides with the almost continuity of T. Husain [2] and H. Blumberg [3]. This implies a functional tridecomposition of continuity using almost continuity and subweak α -continuity.