Subweaklyα-continuous functions

[摘要] In a recent paper by T. Noiri [1], a functionf:X→Yis said to be weaklyα-continuous iff:Xα→Yis weakly continuous whereXαis the spaceXendowed with theα-topolooy. Smilarly, we define subweakα-continuity and almostα-continuity and show that almostα-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 subweakα-continuity.

[学科分类] 数学（综合）