Weak Forms of Open and Closed Functions by Using b-δ Open Set
Keywords:
Functions, Investigation, Topology, Generation, Definitions, Applications, Theorem, b−δ - open set, δ-open set, Generalized sets, Regular spaceAbstract
The notion of β-open set and δδ-open set were introduced by many topologists and several research papers with interesting results in different respects came to existence. Also, the notion of b−δ-open set was introduced by Almalty (2011). The aim of this work is focused on generalization of functions in topological space and new classes of functions called weakly b−δ-open function and weakly b−δ-closed functions via b−δ-open set. The connections between these functions and other related functions are investigated. Moreover, we introduce some theorems and propositions that are related with these functions. The result of this study shows how we can define new notations of functions by using a weak form of b−δ-open set.
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References
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