The main goal of this paper is to introduce and study a new class of function via the notions of $e$-$theta$-open sets and $e$-$theta$-closure operator which are defined by Özkoç and Aslım [10] called weakly $eR$-open functions and $e$-$theta$-open functions. Moreover, we investigate not only some of their basic properties but also their relationships with other types of already existing topolo...

In an earlier paperf it has been shown that if T(A) — B is a light interior transformation, that is, a continuous transformation mapping open sets into open sets and mapping no continuum into a single point, and if A is compact, then for every simple arc pq in B and any poeT~(p) there exists a simple arc poqo in A which maps topologically onto pq under T. In this paper the following extension t...

The principle purpose of this paper is to introduce and study some new classes sets in topological spaces which are finer than the open ω−open sets. continuity via these will be introduced studied.