Korean Journal of Mathematics

  • 제28권3호
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  • Pages.573-585
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  • 2020
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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ON THE GENERALIZED BOUNDARY AND THICKNESS

  • Kang, Buhyeon (Department of Mathematics, Seokyeong University)
  • 투고 : 2020.07.17
  • 심사 : 2020.09.11
  • 발행 : 2020.09.30
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초록

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

  1. Buhyeon Kang, An Introduction to ${\epsilon}_0$-Density and ${\epsilon}_0$-Dense Ace, JCMS. 32 (1) (2019).
  2. Buhyeon Kang, The sequential attainability and attainable ace, Korean J. Math. 26 (4)(2018).
  3. Yong Chan Kim and Jung Mi Ko, The properties of rough approximations, Korean J. Math. 19 (2)(2011).
  4. Yong Chan Kim and Jung Mi Ko, L-fuzzy bi-closure systems and L-fuzzy bi-closure operators, Korean J. Math. 27 (2) (2019).
  5. Shyamapada Modak and Ahmad Abdullah Al-omari, Generalized Closed Sets in Binary Ideal Topological Spaces, JCMS. 31 (1) (2018).
  6. M.Bala Prabhakar, S.Kalesha Vali, and M. Sambasiva Rao, Closed and Dense Elements of BE-algebras, JCMS. 32 (1) (2019).