On the generalized boundary and thickness
We introduced the concepts of the generalized accumulation points and the generalized density of a subset of the Euclidean space in  and . Using those concepts, we introduce the concepts of the generalized closure, the generalized interior, the generalized exterior and the generalized boundary of a subset and investigate some properties of these sets. The generalized boundary of a subset is closely related to the classical boundary. Finally, we also introduce and study a concept of the thickness of a subset.
Subject classification03H05, 26E35
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