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We introduced the concepts of the generalized accumulation points and the generalized density of a subset of the Euclidean space in [1] and [2]. 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.
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참고문헌 (6)
참고문헌 신청
Buhyeon Kang / 2019 / An Introduction to ∊0-Density and ∊0-Dense Ace / JCMS 32(1)
강부현 / 2018 / The sequential attainability and attainable ace / 한국수학논문집 26(4):757~775
김용찬 / 2011 / The properties of rough approximations / 한국수학논문집 19(2):219~232
고정미 / 2019 / $L$-fuzzy bi-closure systems and $L$-fuzzy bi-closure operators / 한국수학논문집 27(2):475~485
Shyamapada Modak / 2018 / Generalized closed sets in binary ideal topological spaces / 충청수학회지 31(1):183~191
강부현 / 2018 / The sequential attainability and attainable ace / 한국수학논문집 26(4):757~775
김용찬 / 2011 / The properties of rough approximations / 한국수학논문집 19(2):219~232
고정미 / 2019 / $L$-fuzzy bi-closure systems and $L$-fuzzy bi-closure operators / 한국수학논문집 27(2):475~485
Shyamapada Modak / 2018 / Generalized closed sets in binary ideal topological spaces / 충청수학회지 31(1):183~191
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