[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2020.28.3.573

ON THE GENERALIZED BOUNDARY AND THICKNESS

Kang, Buhyeon (Department of Mathematics, Seokyeong University)

Publication Information

Korean Journal of Mathematics / v.28, no.3, 2020 , pp. 573-585 More about this Journal

Abstract

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.

Keywords

${\epsilon}_0$ -interior; ${\epsilon}_0$ -exterior; ${\epsilon}_0$ -boundary; ${\epsilon}_0$ -thick;

Citations & Related Records

Times Cited By KSCI : 10 (Citation Analysis)

Reference
Cited By KSCI

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).