International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 4, Pages 713-720
doi:10.1155/S0161171288000869

Subweakly α-continuous functions

Abstract

In a recent paper by T. Noiri [1], a function f:X→Y is said to be weakly α-continuous if f:Xα→Y is weakly continuous where Xα 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.