On ω*-open sets and decomposition of continuity

Abstract

In this paper our main interest is to introduce a new topology on an ideal topological space.We have studied some properties of this newly defined topology. It is shown that X is Lindelöf with respect to this new topology if and only if it is Lindelöf with respect to the old one.We have introduced and studied ω*-continuity and some related notions. Finally we have given decomposition theorem for continuity and ω*-continuity.

Keywords

• countable set
• ideal
• ω*-open set
• ω*-continuity
• 54a10
• 54c08