Differential Neighborhoods and Differential Limit Points in Derivative Topological Spaces
Keywords:
Derivative topology, differential open, differential neighborhood, differential limit point and differential derived set.Abstract
In recent years, some generalized structures of topologies were introduced. In this way, derivative topological space was introduced. To contribute in this orientation, we introduce and investigate the properties of differential neighborhoods and differential limit points in derivative topological spaces. We explore many properties of them and discuss their behaviour on derivative topological spaces. A differential limit point is a point in a differential ring that can be approached arbitrarily close by the elements that same set. These concepts serve as the building blocks for defining other key properties in derivative topological spaces. The relation between differential open sets, differential closure, differential neighborhoods and differential derived sets were obtained.
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