On [[omega].sub.[theta]]-Continuity in the Product Space and Some Versions of Separation Axioms

In this paper, the concept of [[omega].sub.[theta]]-continuous function from an arbitrary topological space into the product space will be characterized. Moreover, some versions of separation axioms with respect to [[omega].sub.[theta]]-open set will be introduced and characterized. Keywords: [[omega].sub.[theta]]-continuous, [[omega].sub.[theta]]-Hausdorff, [[omega].sub.[theta]]-regular, [[omega].sub.[theta]]-normal
1 Introduction The first attempt to replace various concepts in topology with concepts possessing either of weaker or stronger properties was done by N. Levine [4] in 1963. In his [...]