On decomposition of continuity in topological spaces

On DS*-sets and decompositions of continuous functions

“…If A is a preopen DS * -set, then it is a preopen B-set. So, by Proposition 9 [23], A is open. Also, if A is a δ * -set and δ-semiopen, by Theorem 18, A is open.…”

On Decomposition of New Kinds of Continuity in Bitopological Space

“…Tong [6] introduced the concept of t-set and B-set in topological space. [7] [8] gave some decomposition of continuity.…”

A uniform approach to normality for topological spaces

“…In the literature, several such classes are available which include amongst others semi-open sets [10], α-open sets [12], β-open sets [1], pre-open sets [11], etc. Some other such classes are A-sets [15], B-sets [16], C-sets [7], etc. Since these classes have some features common in them, it is quite natural to enquire if these classes can be obtained by using one common definition?…”